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Finding the Third Proportional to 19,120 and 25,757

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Solution

The third proportional to 19,120 and 25,757 is: 34,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120 : 25,757 = 25,757 : x
  2. Step 2: Convert to fraction form
    19,120/25,757 = 25,757/x
  3. Step 3: Cross multiply
    19,120x = 25,757 × 25,757
  4. Step 4: Simplify right side
    19,120x = 663,423,049
  5. Step 5: Solve for x
    x = 663,423,049/19,120
  6. Step 6: Final answer
    x = 34,697.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.