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Finding the Third Proportional to 1,459.97 and 3,167.72

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Solution

The third proportional to 1,459.97 and 3,167.72 is: 6,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.97 : 3,167.72 = 3,167.72 : x
  2. Step 2: Convert to fraction form
    1,459.97/3,167.72 = 3,167.72/x
  3. Step 3: Cross multiply
    1,459.97x = 3,167.72 × 3,167.72
  4. Step 4: Simplify right side
    1,459.97x = 10,034,442.08
  5. Step 5: Solve for x
    x = 10,034,442.08/1,459.97
  6. Step 6: Final answer
    x = 6,873.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.