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Finding the Third Proportional to 10,959.50 and 16,950.75

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Solution

The third proportional to 10,959.50 and 16,950.75 is: 26,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.50 : 16,950.75 = 16,950.75 : x
  2. Step 2: Convert to fraction form
    10,959.50/16,950.75 = 16,950.75/x
  3. Step 3: Cross multiply
    10,959.50x = 16,950.75 × 16,950.75
  4. Step 4: Simplify right side
    10,959.50x = 287,327,925.56
  5. Step 5: Solve for x
    x = 287,327,925.56/10,959.50
  6. Step 6: Final answer
    x = 26,217.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.