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Finding the Third Proportional to 31,672.69 and 42,752.81

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Solution

The third proportional to 31,672.69 and 42,752.81 is: 57,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.69 : 42,752.81 = 42,752.81 : x
  2. Step 2: Convert to fraction form
    31,672.69/42,752.81 = 42,752.81/x
  3. Step 3: Cross multiply
    31,672.69x = 42,752.81 × 42,752.81
  4. Step 4: Simplify right side
    31,672.69x = 1,827,802,976.66
  5. Step 5: Solve for x
    x = 1,827,802,976.66/31,672.69
  6. Step 6: Final answer
    x = 57,709.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.