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Finding the Third Proportional to 8,025.75 and 15,511.50

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Solution

The third proportional to 8,025.75 and 15,511.50 is: 29,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.75 : 15,511.50 = 15,511.50 : x
  2. Step 2: Convert to fraction form
    8,025.75/15,511.50 = 15,511.50/x
  3. Step 3: Cross multiply
    8,025.75x = 15,511.50 × 15,511.50
  4. Step 4: Simplify right side
    8,025.75x = 240,606,632.25
  5. Step 5: Solve for x
    x = 240,606,632.25/8,025.75
  6. Step 6: Final answer
    x = 29,979.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.