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Finding the Third Proportional to 31,407.75 and 42,363

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Solution

The third proportional to 31,407.75 and 42,363 is: 57,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 42,363 = 42,363 : x
  2. Step 2: Convert to fraction form
    31,407.75/42,363 = 42,363/x
  3. Step 3: Cross multiply
    31,407.75x = 42,363 × 42,363
  4. Step 4: Simplify right side
    31,407.75x = 1,794,623,769
  5. Step 5: Solve for x
    x = 1,794,623,769/31,407.75
  6. Step 6: Final answer
    x = 57,139.52

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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.