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Finding the Third Proportional to 10,260.11 and 16,287.17

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Solution

The third proportional to 10,260.11 and 16,287.17 is: 25,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.11 : 16,287.17 = 16,287.17 : x
  2. Step 2: Convert to fraction form
    10,260.11/16,287.17 = 16,287.17/x
  3. Step 3: Cross multiply
    10,260.11x = 16,287.17 × 16,287.17
  4. Step 4: Simplify right side
    10,260.11x = 265,271,904.06
  5. Step 5: Solve for x
    x = 265,271,904.06/10,260.11
  6. Step 6: Final answer
    x = 25,854.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.