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Finding the Third Proportional to 47,554.88 and 71,202.38

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Solution

The third proportional to 47,554.88 and 71,202.38 is: 106,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,554.88 : 71,202.38 = 71,202.38 : x
  2. Step 2: Convert to fraction form
    47,554.88/71,202.38 = 71,202.38/x
  3. Step 3: Cross multiply
    47,554.88x = 71,202.38 × 71,202.38
  4. Step 4: Simplify right side
    47,554.88x = 5,069,778,205.64
  5. Step 5: Solve for x
    x = 5,069,778,205.64/47,554.88
  6. Step 6: Final answer
    x = 106,609.01

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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.