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Finding the Third Proportional to 22,294 and 47,948

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Solution

The third proportional to 22,294 and 47,948 is: 103,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294 : 47,948 = 47,948 : x
  2. Step 2: Convert to fraction form
    22,294/47,948 = 47,948/x
  3. Step 3: Cross multiply
    22,294x = 47,948 × 47,948
  4. Step 4: Simplify right side
    22,294x = 2,299,010,704
  5. Step 5: Solve for x
    x = 2,299,010,704/22,294
  6. Step 6: Final answer
    x = 103,122.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.