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Finding the Third Proportional to 42,147 and 63,097.50

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Solution

The third proportional to 42,147 and 63,097.50 is: 94,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147 : 63,097.50 = 63,097.50 : x
  2. Step 2: Convert to fraction form
    42,147/63,097.50 = 63,097.50/x
  3. Step 3: Cross multiply
    42,147x = 63,097.50 × 63,097.50
  4. Step 4: Simplify right side
    42,147x = 3,981,294,506.25
  5. Step 5: Solve for x
    x = 3,981,294,506.25/42,147
  6. Step 6: Final answer
    x = 94,462.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.