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Finding the Third Proportional to 29,708 and 52,810

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Solution

The third proportional to 29,708 and 52,810 is: 93,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708 : 52,810 = 52,810 : x
  2. Step 2: Convert to fraction form
    29,708/52,810 = 52,810/x
  3. Step 3: Cross multiply
    29,708x = 52,810 × 52,810
  4. Step 4: Simplify right side
    29,708x = 2,788,896,100
  5. Step 5: Solve for x
    x = 2,788,896,100/29,708
  6. Step 6: Final answer
    x = 93,876.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.