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Finding the Third Proportional to 31,407.75 and 42,373.13

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Solution

The third proportional to 31,407.75 and 42,373.13 is: 57,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 42,373.13 = 42,373.13 : x
  2. Step 2: Convert to fraction form
    31,407.75/42,373.13 = 42,373.13/x
  3. Step 3: Cross multiply
    31,407.75x = 42,373.13 × 42,373.13
  4. Step 4: Simplify right side
    31,407.75x = 1,795,481,722.27
  5. Step 5: Solve for x
    x = 1,795,481,722.27/31,407.75
  6. Step 6: Final answer
    x = 57,166.84

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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.