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Finding the Third Proportional to 9,787.50 and 14,910.75

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Solution

The third proportional to 9,787.50 and 14,910.75 is: 22,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.50 : 14,910.75 = 14,910.75 : x
  2. Step 2: Convert to fraction form
    9,787.50/14,910.75 = 14,910.75/x
  3. Step 3: Cross multiply
    9,787.50x = 14,910.75 × 14,910.75
  4. Step 4: Simplify right side
    9,787.50x = 222,330,465.56
  5. Step 5: Solve for x
    x = 222,330,465.56/9,787.50
  6. Step 6: Final answer
    x = 22,715.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.