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Finding the Third Proportional to 24,586 and 52,678

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Solution

The third proportional to 24,586 and 52,678 is: 112,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586 : 52,678 = 52,678 : x
  2. Step 2: Convert to fraction form
    24,586/52,678 = 52,678/x
  3. Step 3: Cross multiply
    24,586x = 52,678 × 52,678
  4. Step 4: Simplify right side
    24,586x = 2,774,971,684
  5. Step 5: Solve for x
    x = 2,774,971,684/24,586
  6. Step 6: Final answer
    x = 112,867.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.