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Finding the Third Proportional to 5,761.13 and 8,681.63

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Solution

The third proportional to 5,761.13 and 8,681.63 is: 13,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 8,681.63 = 8,681.63 : x
  2. Step 2: Convert to fraction form
    5,761.13/8,681.63 = 8,681.63/x
  3. Step 3: Cross multiply
    5,761.13x = 8,681.63 × 8,681.63
  4. Step 4: Simplify right side
    5,761.13x = 75,370,612.64
  5. Step 5: Solve for x
    x = 75,370,612.64/5,761.13
  6. Step 6: Final answer
    x = 13,082.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.