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Finding the Third Proportional to 6,437.39 and 9,188.02

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Solution

The third proportional to 6,437.39 and 9,188.02 is: 13,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.39 : 9,188.02 = 9,188.02 : x
  2. Step 2: Convert to fraction form
    6,437.39/9,188.02 = 9,188.02/x
  3. Step 3: Cross multiply
    6,437.39x = 9,188.02 × 9,188.02
  4. Step 4: Simplify right side
    6,437.39x = 84,419,631.13
  5. Step 5: Solve for x
    x = 84,419,631.13/6,437.39
  6. Step 6: Final answer
    x = 13,113.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.