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Finding the Third Proportional to 47,498 and 74,121.50

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Solution

The third proportional to 47,498 and 74,121.50 is: 115,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498 : 74,121.50 = 74,121.50 : x
  2. Step 2: Convert to fraction form
    47,498/74,121.50 = 74,121.50/x
  3. Step 3: Cross multiply
    47,498x = 74,121.50 × 74,121.50
  4. Step 4: Simplify right side
    47,498x = 5,493,996,762.25
  5. Step 5: Solve for x
    x = 5,493,996,762.25/47,498
  6. Step 6: Final answer
    x = 115,667.96

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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.