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Finding the Third Proportional to 6,139.13 and 9,442.13

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Solution

The third proportional to 6,139.13 and 9,442.13 is: 14,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.13 : 9,442.13 = 9,442.13 : x
  2. Step 2: Convert to fraction form
    6,139.13/9,442.13 = 9,442.13/x
  3. Step 3: Cross multiply
    6,139.13x = 9,442.13 × 9,442.13
  4. Step 4: Simplify right side
    6,139.13x = 89,153,724.52
  5. Step 5: Solve for x
    x = 89,153,724.52/6,139.13
  6. Step 6: Final answer
    x = 14,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.