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Finding the Third Proportional to 22,897 and 35,435

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Solution

The third proportional to 22,897 and 35,435 is: 54,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897 : 35,435 = 35,435 : x
  2. Step 2: Convert to fraction form
    22,897/35,435 = 35,435/x
  3. Step 3: Cross multiply
    22,897x = 35,435 × 35,435
  4. Step 4: Simplify right side
    22,897x = 1,255,639,225
  5. Step 5: Solve for x
    x = 1,255,639,225/22,897
  6. Step 6: Final answer
    x = 54,838.59

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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.