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Finding the Third Proportional to 22,353 and 32,911

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Solution

The third proportional to 22,353 and 32,911 is: 48,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353 : 32,911 = 32,911 : x
  2. Step 2: Convert to fraction form
    22,353/32,911 = 32,911/x
  3. Step 3: Cross multiply
    22,353x = 32,911 × 32,911
  4. Step 4: Simplify right side
    22,353x = 1,083,133,921
  5. Step 5: Solve for x
    x = 1,083,133,921/22,353
  6. Step 6: Final answer
    x = 48,455.86

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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.