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Finding the Third Proportional to 36,509 and 47,275.50

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Solution

The third proportional to 36,509 and 47,275.50 is: 61,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509 : 47,275.50 = 47,275.50 : x
  2. Step 2: Convert to fraction form
    36,509/47,275.50 = 47,275.50/x
  3. Step 3: Cross multiply
    36,509x = 47,275.50 × 47,275.50
  4. Step 4: Simplify right side
    36,509x = 2,234,972,900.25
  5. Step 5: Solve for x
    x = 2,234,972,900.25/36,509
  6. Step 6: Final answer
    x = 61,217.04

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.