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Finding the Third Proportional to 29,232 and 61,371

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Solution

The third proportional to 29,232 and 61,371 is: 128,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232 : 61,371 = 61,371 : x
  2. Step 2: Convert to fraction form
    29,232/61,371 = 61,371/x
  3. Step 3: Cross multiply
    29,232x = 61,371 × 61,371
  4. Step 4: Simplify right side
    29,232x = 3,766,399,641
  5. Step 5: Solve for x
    x = 3,766,399,641/29,232
  6. Step 6: Final answer
    x = 128,845.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.