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Finding the Third Proportional to 47,089 and 71,113.50

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Solution

The third proportional to 47,089 and 71,113.50 is: 107,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,089 : 71,113.50 = 71,113.50 : x
  2. Step 2: Convert to fraction form
    47,089/71,113.50 = 71,113.50/x
  3. Step 3: Cross multiply
    47,089x = 71,113.50 × 71,113.50
  4. Step 4: Simplify right side
    47,089x = 5,057,129,882.25
  5. Step 5: Solve for x
    x = 5,057,129,882.25/47,089
  6. Step 6: Final answer
    x = 107,395.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.