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Finding the Third Proportional to 28,712 and 62,756

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Solution

The third proportional to 28,712 and 62,756 is: 137,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,712 : 62,756 = 62,756 : x
  2. Step 2: Convert to fraction form
    28,712/62,756 = 62,756/x
  3. Step 3: Cross multiply
    28,712x = 62,756 × 62,756
  4. Step 4: Simplify right side
    28,712x = 3,938,315,536
  5. Step 5: Solve for x
    x = 3,938,315,536/28,712
  6. Step 6: Final answer
    x = 137,166.19

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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.