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Finding the Third Proportional to 22,808 and 36,433

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Solution

The third proportional to 22,808 and 36,433 is: 58,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808 : 36,433 = 36,433 : x
  2. Step 2: Convert to fraction form
    22,808/36,433 = 36,433/x
  3. Step 3: Cross multiply
    22,808x = 36,433 × 36,433
  4. Step 4: Simplify right side
    22,808x = 1,327,363,489
  5. Step 5: Solve for x
    x = 1,327,363,489/22,808
  6. Step 6: Final answer
    x = 58,197.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.