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Finding the Third Proportional to 10,397.11 and 16,288.91

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Solution

The third proportional to 10,397.11 and 16,288.91 is: 25,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.11 : 16,288.91 = 16,288.91 : x
  2. Step 2: Convert to fraction form
    10,397.11/16,288.91 = 16,288.91/x
  3. Step 3: Cross multiply
    10,397.11x = 16,288.91 × 16,288.91
  4. Step 4: Simplify right side
    10,397.11x = 265,328,594.08
  5. Step 5: Solve for x
    x = 265,328,594.08/10,397.11
  6. Step 6: Final answer
    x = 25,519.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.