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Finding the Third Proportional to 11,395 and 16,687.50

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Solution

The third proportional to 11,395 and 16,687.50 is: 24,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395 : 16,687.50 = 16,687.50 : x
  2. Step 2: Convert to fraction form
    11,395/16,687.50 = 16,687.50/x
  3. Step 3: Cross multiply
    11,395x = 16,687.50 × 16,687.50
  4. Step 4: Simplify right side
    11,395x = 278,472,656.25
  5. Step 5: Solve for x
    x = 278,472,656.25/11,395
  6. Step 6: Final answer
    x = 24,438.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.