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Finding the Third Proportional to 29,394 and 60,348

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Solution

The third proportional to 29,394 and 60,348 is: 123,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,394 : 60,348 = 60,348 : x
  2. Step 2: Convert to fraction form
    29,394/60,348 = 60,348/x
  3. Step 3: Cross multiply
    29,394x = 60,348 × 60,348
  4. Step 4: Simplify right side
    29,394x = 3,641,881,104
  5. Step 5: Solve for x
    x = 3,641,881,104/29,394
  6. Step 6: Final answer
    x = 123,898.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.