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Finding the Third Proportional to 24,378 and 52,642

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Solution

The third proportional to 24,378 and 52,642 is: 113,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 52,642 = 52,642 : x
  2. Step 2: Convert to fraction form
    24,378/52,642 = 52,642/x
  3. Step 3: Cross multiply
    24,378x = 52,642 × 52,642
  4. Step 4: Simplify right side
    24,378x = 2,771,180,164
  5. Step 5: Solve for x
    x = 2,771,180,164/24,378
  6. Step 6: Final answer
    x = 113,675.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.