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Finding the Third Proportional to 22,394 and 47,088

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Solution

The third proportional to 22,394 and 47,088 is: 99,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 47,088 = 47,088 : x
  2. Step 2: Convert to fraction form
    22,394/47,088 = 47,088/x
  3. Step 3: Cross multiply
    22,394x = 47,088 × 47,088
  4. Step 4: Simplify right side
    22,394x = 2,217,279,744
  5. Step 5: Solve for x
    x = 2,217,279,744/22,394
  6. Step 6: Final answer
    x = 99,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.