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Finding the Third Proportional to 6,414.19 and 9,854.16

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Solution

The third proportional to 6,414.19 and 9,854.16 is: 15,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.19 : 9,854.16 = 9,854.16 : x
  2. Step 2: Convert to fraction form
    6,414.19/9,854.16 = 9,854.16/x
  3. Step 3: Cross multiply
    6,414.19x = 9,854.16 × 9,854.16
  4. Step 4: Simplify right side
    6,414.19x = 97,104,395.40
  5. Step 5: Solve for x
    x = 97,104,395.40/6,414.19
  6. Step 6: Final answer
    x = 15,139.00

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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.