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Finding the Third Proportional to 4,506.75 and 8,041.50

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Solution

The third proportional to 4,506.75 and 8,041.50 is: 14,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.75 : 8,041.50 = 8,041.50 : x
  2. Step 2: Convert to fraction form
    4,506.75/8,041.50 = 8,041.50/x
  3. Step 3: Cross multiply
    4,506.75x = 8,041.50 × 8,041.50
  4. Step 4: Simplify right side
    4,506.75x = 64,665,722.25
  5. Step 5: Solve for x
    x = 64,665,722.25/4,506.75
  6. Step 6: Final answer
    x = 14,348.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.