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Finding the Third Proportional to 9,568.13 and 14,562.28

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Solution

The third proportional to 9,568.13 and 14,562.28 is: 22,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 14,562.28 = 14,562.28 : x
  2. Step 2: Convert to fraction form
    9,568.13/14,562.28 = 14,562.28/x
  3. Step 3: Cross multiply
    9,568.13x = 14,562.28 × 14,562.28
  4. Step 4: Simplify right side
    9,568.13x = 212,060,035.20
  5. Step 5: Solve for x
    x = 212,060,035.20/9,568.13
  6. Step 6: Final answer
    x = 22,163.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.