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Finding the Third Proportional to 22,314 and 32,853

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Solution

The third proportional to 22,314 and 32,853 is: 48,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314 : 32,853 = 32,853 : x
  2. Step 2: Convert to fraction form
    22,314/32,853 = 32,853/x
  3. Step 3: Cross multiply
    22,314x = 32,853 × 32,853
  4. Step 4: Simplify right side
    22,314x = 1,079,319,609
  5. Step 5: Solve for x
    x = 1,079,319,609/22,314
  6. Step 6: Final answer
    x = 48,369.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.