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Finding the Third Proportional to 10,337.63 and 22,133.25

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Solution

The third proportional to 10,337.63 and 22,133.25 is: 47,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.63 : 22,133.25 = 22,133.25 : x
  2. Step 2: Convert to fraction form
    10,337.63/22,133.25 = 22,133.25/x
  3. Step 3: Cross multiply
    10,337.63x = 22,133.25 × 22,133.25
  4. Step 4: Simplify right side
    10,337.63x = 489,880,755.56
  5. Step 5: Solve for x
    x = 489,880,755.56/10,337.63
  6. Step 6: Final answer
    x = 47,388.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.