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Finding the Third Proportional to 32,295.38 and 47,167.31

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Solution

The third proportional to 32,295.38 and 47,167.31 is: 68,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.38 : 47,167.31 = 47,167.31 : x
  2. Step 2: Convert to fraction form
    32,295.38/47,167.31 = 47,167.31/x
  3. Step 3: Cross multiply
    32,295.38x = 47,167.31 × 47,167.31
  4. Step 4: Simplify right side
    32,295.38x = 2,224,755,368.47
  5. Step 5: Solve for x
    x = 2,224,755,368.47/32,295.38
  6. Step 6: Final answer
    x = 68,887.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.