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Finding the Third Proportional to 21,952 and 32,608

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Solution

The third proportional to 21,952 and 32,608 is: 48,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 32,608 = 32,608 : x
  2. Step 2: Convert to fraction form
    21,952/32,608 = 32,608/x
  3. Step 3: Cross multiply
    21,952x = 32,608 × 32,608
  4. Step 4: Simplify right side
    21,952x = 1,063,281,664
  5. Step 5: Solve for x
    x = 1,063,281,664/21,952
  6. Step 6: Final answer
    x = 48,436.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.