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Finding the Third Proportional to 10,782 and 16,656.75

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Solution

The third proportional to 10,782 and 16,656.75 is: 25,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782 : 16,656.75 = 16,656.75 : x
  2. Step 2: Convert to fraction form
    10,782/16,656.75 = 16,656.75/x
  3. Step 3: Cross multiply
    10,782x = 16,656.75 × 16,656.75
  4. Step 4: Simplify right side
    10,782x = 277,447,320.56
  5. Step 5: Solve for x
    x = 277,447,320.56/10,782
  6. Step 6: Final answer
    x = 25,732.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.