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Finding the Third Proportional to 21,282 and 32,499

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Solution

The third proportional to 21,282 and 32,499 is: 49,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282 : 32,499 = 32,499 : x
  2. Step 2: Convert to fraction form
    21,282/32,499 = 32,499/x
  3. Step 3: Cross multiply
    21,282x = 32,499 × 32,499
  4. Step 4: Simplify right side
    21,282x = 1,056,185,001
  5. Step 5: Solve for x
    x = 1,056,185,001/21,282
  6. Step 6: Final answer
    x = 49,628.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.