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Finding the Third Proportional to 47,494.50 and 74,117.25

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Solution

The third proportional to 47,494.50 and 74,117.25 is: 115,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.50 : 74,117.25 = 74,117.25 : x
  2. Step 2: Convert to fraction form
    47,494.50/74,117.25 = 74,117.25/x
  3. Step 3: Cross multiply
    47,494.50x = 74,117.25 × 74,117.25
  4. Step 4: Simplify right side
    47,494.50x = 5,493,366,747.56
  5. Step 5: Solve for x
    x = 5,493,366,747.56/47,494.50
  6. Step 6: Final answer
    x = 115,663.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.