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Finding the Third Proportional to 6,534.28 and 9,862.17

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Solution

The third proportional to 6,534.28 and 9,862.17 is: 14,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.28 : 9,862.17 = 9,862.17 : x
  2. Step 2: Convert to fraction form
    6,534.28/9,862.17 = 9,862.17/x
  3. Step 3: Cross multiply
    6,534.28x = 9,862.17 × 9,862.17
  4. Step 4: Simplify right side
    6,534.28x = 97,262,434.09
  5. Step 5: Solve for x
    x = 97,262,434.09/6,534.28
  6. Step 6: Final answer
    x = 14,884.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.