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Finding the Third Proportional to 19,062 and 25,605

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Solution

The third proportional to 19,062 and 25,605 is: 34,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,062 : 25,605 = 25,605 : x
  2. Step 2: Convert to fraction form
    19,062/25,605 = 25,605/x
  3. Step 3: Cross multiply
    19,062x = 25,605 × 25,605
  4. Step 4: Simplify right side
    19,062x = 655,616,025
  5. Step 5: Solve for x
    x = 655,616,025/19,062
  6. Step 6: Final answer
    x = 34,393.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.