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Finding the Third Proportional to 10,438.75 and 16,166.13

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Solution

The third proportional to 10,438.75 and 16,166.13 is: 25,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.75 : 16,166.13 = 16,166.13 : x
  2. Step 2: Convert to fraction form
    10,438.75/16,166.13 = 16,166.13/x
  3. Step 3: Cross multiply
    10,438.75x = 16,166.13 × 16,166.13
  4. Step 4: Simplify right side
    10,438.75x = 261,343,597.52
  5. Step 5: Solve for x
    x = 261,343,597.52/10,438.75
  6. Step 6: Final answer
    x = 25,035.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.