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Finding the Third Proportional to 31,402.69 and 47,035.69

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Solution

The third proportional to 31,402.69 and 47,035.69 is: 70,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.69 : 47,035.69 = 47,035.69 : x
  2. Step 2: Convert to fraction form
    31,402.69/47,035.69 = 47,035.69/x
  3. Step 3: Cross multiply
    31,402.69x = 47,035.69 × 47,035.69
  4. Step 4: Simplify right side
    31,402.69x = 2,212,355,898.60
  5. Step 5: Solve for x
    x = 2,212,355,898.60/31,402.69
  6. Step 6: Final answer
    x = 70,451.16

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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.