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Finding the Third Proportional to 25,049 and 59,342

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Solution

The third proportional to 25,049 and 59,342 is: 140,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049 : 59,342 = 59,342 : x
  2. Step 2: Convert to fraction form
    25,049/59,342 = 59,342/x
  3. Step 3: Cross multiply
    25,049x = 59,342 × 59,342
  4. Step 4: Simplify right side
    25,049x = 3,521,472,964
  5. Step 5: Solve for x
    x = 3,521,472,964/25,049
  6. Step 6: Final answer
    x = 140,583.38

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.