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Finding the Third Proportional to 22,700 and 35,231

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Solution

The third proportional to 22,700 and 35,231 is: 54,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700 : 35,231 = 35,231 : x
  2. Step 2: Convert to fraction form
    22,700/35,231 = 35,231/x
  3. Step 3: Cross multiply
    22,700x = 35,231 × 35,231
  4. Step 4: Simplify right side
    22,700x = 1,241,223,361
  5. Step 5: Solve for x
    x = 1,241,223,361/22,700
  6. Step 6: Final answer
    x = 54,679.44

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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.