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Finding the Third Proportional to 22,580 and 34,894

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Solution

The third proportional to 22,580 and 34,894 is: 53,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580 : 34,894 = 34,894 : x
  2. Step 2: Convert to fraction form
    22,580/34,894 = 34,894/x
  3. Step 3: Cross multiply
    22,580x = 34,894 × 34,894
  4. Step 4: Simplify right side
    22,580x = 1,217,591,236
  5. Step 5: Solve for x
    x = 1,217,591,236/22,580
  6. Step 6: Final answer
    x = 53,923.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.