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Finding the Third Proportional to 10,389 and 22,266.38

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Solution

The third proportional to 10,389 and 22,266.38 is: 47,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389 : 22,266.38 = 22,266.38 : x
  2. Step 2: Convert to fraction form
    10,389/22,266.38 = 22,266.38/x
  3. Step 3: Cross multiply
    10,389x = 22,266.38 × 22,266.38
  4. Step 4: Simplify right side
    10,389x = 495,791,455.64
  5. Step 5: Solve for x
    x = 495,791,455.64/10,389
  6. Step 6: Final answer
    x = 47,722.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.