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Finding the Third Proportional to 31,402.69 and 47,171.53

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Solution

The third proportional to 31,402.69 and 47,171.53 is: 70,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.69 : 47,171.53 = 47,171.53 : x
  2. Step 2: Convert to fraction form
    31,402.69/47,171.53 = 47,171.53/x
  3. Step 3: Cross multiply
    31,402.69x = 47,171.53 × 47,171.53
  4. Step 4: Simplify right side
    31,402.69x = 2,225,153,360.47
  5. Step 5: Solve for x
    x = 2,225,153,360.47/31,402.69
  6. Step 6: Final answer
    x = 70,858.69

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