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Finding the Third Proportional to 10,156.25 and 16,218.13

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Solution

The third proportional to 10,156.25 and 16,218.13 is: 25,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.25 : 16,218.13 = 16,218.13 : x
  2. Step 2: Convert to fraction form
    10,156.25/16,218.13 = 16,218.13/x
  3. Step 3: Cross multiply
    10,156.25x = 16,218.13 × 16,218.13
  4. Step 4: Simplify right side
    10,156.25x = 263,027,578.52
  5. Step 5: Solve for x
    x = 263,027,578.52/10,156.25
  6. Step 6: Final answer
    x = 25,898.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.