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Finding the Third Proportional to 24,314 and 38,091

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Solution

The third proportional to 24,314 and 38,091 is: 59,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 38,091 = 38,091 : x
  2. Step 2: Convert to fraction form
    24,314/38,091 = 38,091/x
  3. Step 3: Cross multiply
    24,314x = 38,091 × 38,091
  4. Step 4: Simplify right side
    24,314x = 1,450,924,281
  5. Step 5: Solve for x
    x = 1,450,924,281/24,314
  6. Step 6: Final answer
    x = 59,674.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.