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Finding the Third Proportional to 5,689.13 and 7,534.69

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Solution

The third proportional to 5,689.13 and 7,534.69 is: 9,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.13 : 7,534.69 = 7,534.69 : x
  2. Step 2: Convert to fraction form
    5,689.13/7,534.69 = 7,534.69/x
  3. Step 3: Cross multiply
    5,689.13x = 7,534.69 × 7,534.69
  4. Step 4: Simplify right side
    5,689.13x = 56,771,515.72
  5. Step 5: Solve for x
    x = 56,771,515.72/5,689.13
  6. Step 6: Final answer
    x = 9,978.95

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.