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Finding the Third Proportional to 24,538 and 53,370

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Solution

The third proportional to 24,538 and 53,370 is: 116,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 53,370 = 53,370 : x
  2. Step 2: Convert to fraction form
    24,538/53,370 = 53,370/x
  3. Step 3: Cross multiply
    24,538x = 53,370 × 53,370
  4. Step 4: Simplify right side
    24,538x = 2,848,356,900
  5. Step 5: Solve for x
    x = 2,848,356,900/24,538
  6. Step 6: Final answer
    x = 116,079.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.