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Finding the Third Proportional to 6,084.28 and 13,489.45

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Solution

The third proportional to 6,084.28 and 13,489.45 is: 29,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.28 : 13,489.45 = 13,489.45 : x
  2. Step 2: Convert to fraction form
    6,084.28/13,489.45 = 13,489.45/x
  3. Step 3: Cross multiply
    6,084.28x = 13,489.45 × 13,489.45
  4. Step 4: Simplify right side
    6,084.28x = 181,965,345.61
  5. Step 5: Solve for x
    x = 181,965,345.61/6,084.28
  6. Step 6: Final answer
    x = 29,907.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.