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Finding the Third Proportional to 24,364 and 52,488

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Solution

The third proportional to 24,364 and 52,488 is: 113,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364 : 52,488 = 52,488 : x
  2. Step 2: Convert to fraction form
    24,364/52,488 = 52,488/x
  3. Step 3: Cross multiply
    24,364x = 52,488 × 52,488
  4. Step 4: Simplify right side
    24,364x = 2,754,990,144
  5. Step 5: Solve for x
    x = 2,754,990,144/24,364
  6. Step 6: Final answer
    x = 113,076.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.