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Finding the Third Proportional to 10,350 and 15,928.13

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Solution

The third proportional to 10,350 and 15,928.13 is: 24,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350 : 15,928.13 = 15,928.13 : x
  2. Step 2: Convert to fraction form
    10,350/15,928.13 = 15,928.13/x
  3. Step 3: Cross multiply
    10,350x = 15,928.13 × 15,928.13
  4. Step 4: Simplify right side
    10,350x = 253,705,166.02
  5. Step 5: Solve for x
    x = 253,705,166.02/10,350
  6. Step 6: Final answer
    x = 24,512.58

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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.