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Finding the Third Proportional to 21,597 and 32,847

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Solution

The third proportional to 21,597 and 32,847 is: 49,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597 : 32,847 = 32,847 : x
  2. Step 2: Convert to fraction form
    21,597/32,847 = 32,847/x
  3. Step 3: Cross multiply
    21,597x = 32,847 × 32,847
  4. Step 4: Simplify right side
    21,597x = 1,078,925,409
  5. Step 5: Solve for x
    x = 1,078,925,409/21,597
  6. Step 6: Final answer
    x = 49,957.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.