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Finding the Third Proportional to 24,274 and 37,707

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Solution

The third proportional to 24,274 and 37,707 is: 58,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274 : 37,707 = 37,707 : x
  2. Step 2: Convert to fraction form
    24,274/37,707 = 37,707/x
  3. Step 3: Cross multiply
    24,274x = 37,707 × 37,707
  4. Step 4: Simplify right side
    24,274x = 1,421,817,849
  5. Step 5: Solve for x
    x = 1,421,817,849/24,274
  6. Step 6: Final answer
    x = 58,573.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.