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Finding the Third Proportional to 6,154.59 and 13,422.94

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Solution

The third proportional to 6,154.59 and 13,422.94 is: 29,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.59 : 13,422.94 = 13,422.94 : x
  2. Step 2: Convert to fraction form
    6,154.59/13,422.94 = 13,422.94/x
  3. Step 3: Cross multiply
    6,154.59x = 13,422.94 × 13,422.94
  4. Step 4: Simplify right side
    6,154.59x = 180,175,251.13
  5. Step 5: Solve for x
    x = 180,175,251.13/6,154.59
  6. Step 6: Final answer
    x = 29,274.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.