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Finding the Third Proportional to 24,282 and 32,374

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Solution

The third proportional to 24,282 and 32,374 is: 43,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282 : 32,374 = 32,374 : x
  2. Step 2: Convert to fraction form
    24,282/32,374 = 32,374/x
  3. Step 3: Cross multiply
    24,282x = 32,374 × 32,374
  4. Step 4: Simplify right side
    24,282x = 1,048,075,876
  5. Step 5: Solve for x
    x = 1,048,075,876/24,282
  6. Step 6: Final answer
    x = 43,162.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.