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Finding the Third Proportional to 50,472 and 70,588

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Solution

The third proportional to 50,472 and 70,588 is: 98,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 70,588 = 70,588 : x
  2. Step 2: Convert to fraction form
    50,472/70,588 = 70,588/x
  3. Step 3: Cross multiply
    50,472x = 70,588 × 70,588
  4. Step 4: Simplify right side
    50,472x = 4,982,665,744
  5. Step 5: Solve for x
    x = 4,982,665,744/50,472
  6. Step 6: Final answer
    x = 98,721.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.