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Finding the Third Proportional to 22,882 and 34,386

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Solution

The third proportional to 22,882 and 34,386 is: 51,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882 : 34,386 = 34,386 : x
  2. Step 2: Convert to fraction form
    22,882/34,386 = 34,386/x
  3. Step 3: Cross multiply
    22,882x = 34,386 × 34,386
  4. Step 4: Simplify right side
    22,882x = 1,182,396,996
  5. Step 5: Solve for x
    x = 1,182,396,996/22,882
  6. Step 6: Final answer
    x = 51,673.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.