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Finding the Third Proportional to 25,348 and 61,642

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Solution

The third proportional to 25,348 and 61,642 is: 149,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348 : 61,642 = 61,642 : x
  2. Step 2: Convert to fraction form
    25,348/61,642 = 61,642/x
  3. Step 3: Cross multiply
    25,348x = 61,642 × 61,642
  4. Step 4: Simplify right side
    25,348x = 3,799,736,164
  5. Step 5: Solve for x
    x = 3,799,736,164/25,348
  6. Step 6: Final answer
    x = 149,902.80

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.