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Finding the Third Proportional to 29,688 and 60,471

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Solution

The third proportional to 29,688 and 60,471 is: 123,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 60,471 = 60,471 : x
  2. Step 2: Convert to fraction form
    29,688/60,471 = 60,471/x
  3. Step 3: Cross multiply
    29,688x = 60,471 × 60,471
  4. Step 4: Simplify right side
    29,688x = 3,656,741,841
  5. Step 5: Solve for x
    x = 3,656,741,841/29,688
  6. Step 6: Final answer
    x = 123,172.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.