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Finding the Third Proportional to 10,472.63 and 22,585.13

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Solution

The third proportional to 10,472.63 and 22,585.13 is: 48,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.63 : 22,585.13 = 22,585.13 : x
  2. Step 2: Convert to fraction form
    10,472.63/22,585.13 = 22,585.13/x
  3. Step 3: Cross multiply
    10,472.63x = 22,585.13 × 22,585.13
  4. Step 4: Simplify right side
    10,472.63x = 510,087,871.27
  5. Step 5: Solve for x
    x = 510,087,871.27/10,472.63
  6. Step 6: Final answer
    x = 48,706.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.