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Finding the Third Proportional to 7,856.25 and 16,942.13

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Solution

The third proportional to 7,856.25 and 16,942.13 is: 36,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.25 : 16,942.13 = 16,942.13 : x
  2. Step 2: Convert to fraction form
    7,856.25/16,942.13 = 16,942.13/x
  3. Step 3: Cross multiply
    7,856.25x = 16,942.13 × 16,942.13
  4. Step 4: Simplify right side
    7,856.25x = 287,035,599.52
  5. Step 5: Solve for x
    x = 287,035,599.52/7,856.25
  6. Step 6: Final answer
    x = 36,535.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.