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Finding the Third Proportional to 1,402.31 and 1,966.13

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Solution

The third proportional to 1,402.31 and 1,966.13 is: 2,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.31 : 1,966.13 = 1,966.13 : x
  2. Step 2: Convert to fraction form
    1,402.31/1,966.13 = 1,966.13/x
  3. Step 3: Cross multiply
    1,402.31x = 1,966.13 × 1,966.13
  4. Step 4: Simplify right side
    1,402.31x = 3,865,647.52
  5. Step 5: Solve for x
    x = 3,865,647.52/1,402.31
  6. Step 6: Final answer
    x = 2,756.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.