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Finding the Third Proportional to 21,840 and 32,725.75

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Solution

The third proportional to 21,840 and 32,725.75 is: 49,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840 : 32,725.75 = 32,725.75 : x
  2. Step 2: Convert to fraction form
    21,840/32,725.75 = 32,725.75/x
  3. Step 3: Cross multiply
    21,840x = 32,725.75 × 32,725.75
  4. Step 4: Simplify right side
    21,840x = 1,070,974,713.06
  5. Step 5: Solve for x
    x = 1,070,974,713.06/21,840
  6. Step 6: Final answer
    x = 49,037.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.