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Finding the Third Proportional to 28,632 and 62,776

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Solution

The third proportional to 28,632 and 62,776 is: 137,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,632 : 62,776 = 62,776 : x
  2. Step 2: Convert to fraction form
    28,632/62,776 = 62,776/x
  3. Step 3: Cross multiply
    28,632x = 62,776 × 62,776
  4. Step 4: Simplify right side
    28,632x = 3,940,826,176
  5. Step 5: Solve for x
    x = 3,940,826,176/28,632
  6. Step 6: Final answer
    x = 137,637.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.