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Finding the Third Proportional to 24,894 and 36,837

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Solution

The third proportional to 24,894 and 36,837 is: 54,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894 : 36,837 = 36,837 : x
  2. Step 2: Convert to fraction form
    24,894/36,837 = 36,837/x
  3. Step 3: Cross multiply
    24,894x = 36,837 × 36,837
  4. Step 4: Simplify right side
    24,894x = 1,356,964,569
  5. Step 5: Solve for x
    x = 1,356,964,569/24,894
  6. Step 6: Final answer
    x = 54,509.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.