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Finding the Third Proportional to 24,894 and 37,701

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Solution

The third proportional to 24,894 and 37,701 is: 57,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894 : 37,701 = 37,701 : x
  2. Step 2: Convert to fraction form
    24,894/37,701 = 37,701/x
  3. Step 3: Cross multiply
    24,894x = 37,701 × 37,701
  4. Step 4: Simplify right side
    24,894x = 1,421,365,401
  5. Step 5: Solve for x
    x = 1,421,365,401/24,894
  6. Step 6: Final answer
    x = 57,096.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.