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Finding the Third Proportional to 16,442 and 25,765

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Solution

The third proportional to 16,442 and 25,765 is: 40,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442 : 25,765 = 25,765 : x
  2. Step 2: Convert to fraction form
    16,442/25,765 = 25,765/x
  3. Step 3: Cross multiply
    16,442x = 25,765 × 25,765
  4. Step 4: Simplify right side
    16,442x = 663,835,225
  5. Step 5: Solve for x
    x = 663,835,225/16,442
  6. Step 6: Final answer
    x = 40,374.36

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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.