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Finding the Third Proportional to 24,214 and 37,394

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Solution

The third proportional to 24,214 and 37,394 is: 57,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214 : 37,394 = 37,394 : x
  2. Step 2: Convert to fraction form
    24,214/37,394 = 37,394/x
  3. Step 3: Cross multiply
    24,214x = 37,394 × 37,394
  4. Step 4: Simplify right side
    24,214x = 1,398,311,236
  5. Step 5: Solve for x
    x = 1,398,311,236/24,214
  6. Step 6: Final answer
    x = 57,748.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.