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Finding the Third Proportional to 24,262 and 37,390

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Solution

The third proportional to 24,262 and 37,390 is: 57,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262 : 37,390 = 37,390 : x
  2. Step 2: Convert to fraction form
    24,262/37,390 = 37,390/x
  3. Step 3: Cross multiply
    24,262x = 37,390 × 37,390
  4. Step 4: Simplify right side
    24,262x = 1,398,012,100
  5. Step 5: Solve for x
    x = 1,398,012,100/24,262
  6. Step 6: Final answer
    x = 57,621.47

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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.