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Finding the Third Proportional to 29,217.50 and 42,893

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Solution

The third proportional to 29,217.50 and 42,893 is: 62,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217.50 : 42,893 = 42,893 : x
  2. Step 2: Convert to fraction form
    29,217.50/42,893 = 42,893/x
  3. Step 3: Cross multiply
    29,217.50x = 42,893 × 42,893
  4. Step 4: Simplify right side
    29,217.50x = 1,839,809,449
  5. Step 5: Solve for x
    x = 1,839,809,449/29,217.50
  6. Step 6: Final answer
    x = 62,969.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.