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Finding the Third Proportional to 21,560 and 32,206

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Solution

The third proportional to 21,560 and 32,206 is: 48,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,560 : 32,206 = 32,206 : x
  2. Step 2: Convert to fraction form
    21,560/32,206 = 32,206/x
  3. Step 3: Cross multiply
    21,560x = 32,206 × 32,206
  4. Step 4: Simplify right side
    21,560x = 1,037,226,436
  5. Step 5: Solve for x
    x = 1,037,226,436/21,560
  6. Step 6: Final answer
    x = 48,108.83

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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.