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Finding the Third Proportional to 4,350 and 8,632.50

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Solution

The third proportional to 4,350 and 8,632.50 is: 17,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350 : 8,632.50 = 8,632.50 : x
  2. Step 2: Convert to fraction form
    4,350/8,632.50 = 8,632.50/x
  3. Step 3: Cross multiply
    4,350x = 8,632.50 × 8,632.50
  4. Step 4: Simplify right side
    4,350x = 74,520,056.25
  5. Step 5: Solve for x
    x = 74,520,056.25/4,350
  6. Step 6: Final answer
    x = 17,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.