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Finding the Third Proportional to 8,482.50 and 14,451.75

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Solution

The third proportional to 8,482.50 and 14,451.75 is: 24,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.50 : 14,451.75 = 14,451.75 : x
  2. Step 2: Convert to fraction form
    8,482.50/14,451.75 = 14,451.75/x
  3. Step 3: Cross multiply
    8,482.50x = 14,451.75 × 14,451.75
  4. Step 4: Simplify right side
    8,482.50x = 208,853,078.06
  5. Step 5: Solve for x
    x = 208,853,078.06/8,482.50
  6. Step 6: Final answer
    x = 24,621.64

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.