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Finding the Third Proportional to 5,760.10 and 9,158.77

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Solution

The third proportional to 5,760.10 and 9,158.77 is: 14,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.10 : 9,158.77 = 9,158.77 : x
  2. Step 2: Convert to fraction form
    5,760.10/9,158.77 = 9,158.77/x
  3. Step 3: Cross multiply
    5,760.10x = 9,158.77 × 9,158.77
  4. Step 4: Simplify right side
    5,760.10x = 83,883,148.77
  5. Step 5: Solve for x
    x = 83,883,148.77/5,760.10
  6. Step 6: Final answer
    x = 14,562.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.