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Finding the Third Proportional to 10,244.06 and 15,821.06

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Solution

The third proportional to 10,244.06 and 15,821.06 is: 24,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.06 : 15,821.06 = 15,821.06 : x
  2. Step 2: Convert to fraction form
    10,244.06/15,821.06 = 15,821.06/x
  3. Step 3: Cross multiply
    10,244.06x = 15,821.06 × 15,821.06
  4. Step 4: Simplify right side
    10,244.06x = 250,306,018.63
  5. Step 5: Solve for x
    x = 250,306,018.63/10,244.06
  6. Step 6: Final answer
    x = 24,434.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.