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Finding the Third Proportional to 15,754 and 32,237

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Solution

The third proportional to 15,754 and 32,237 is: 65,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754 : 32,237 = 32,237 : x
  2. Step 2: Convert to fraction form
    15,754/32,237 = 32,237/x
  3. Step 3: Cross multiply
    15,754x = 32,237 × 32,237
  4. Step 4: Simplify right side
    15,754x = 1,039,224,169
  5. Step 5: Solve for x
    x = 1,039,224,169/15,754
  6. Step 6: Final answer
    x = 65,965.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.