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Finding the Third Proportional to 47,149.25 and 64,071

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Solution

The third proportional to 47,149.25 and 64,071 is: 87,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149.25 : 64,071 = 64,071 : x
  2. Step 2: Convert to fraction form
    47,149.25/64,071 = 64,071/x
  3. Step 3: Cross multiply
    47,149.25x = 64,071 × 64,071
  4. Step 4: Simplify right side
    47,149.25x = 4,105,093,041
  5. Step 5: Solve for x
    x = 4,105,093,041/47,149.25
  6. Step 6: Final answer
    x = 87,065.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.