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Finding the Third Proportional to 5,862.61 and 9,168.74

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Solution

The third proportional to 5,862.61 and 9,168.74 is: 14,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.61 : 9,168.74 = 9,168.74 : x
  2. Step 2: Convert to fraction form
    5,862.61/9,168.74 = 9,168.74/x
  3. Step 3: Cross multiply
    5,862.61x = 9,168.74 × 9,168.74
  4. Step 4: Simplify right side
    5,862.61x = 84,065,815.39
  5. Step 5: Solve for x
    x = 84,065,815.39/5,862.61
  6. Step 6: Final answer
    x = 14,339.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.