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Finding the Third Proportional to 13,752.50 and 20,659

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Solution

The third proportional to 13,752.50 and 20,659 is: 31,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.50 : 20,659 = 20,659 : x
  2. Step 2: Convert to fraction form
    13,752.50/20,659 = 20,659/x
  3. Step 3: Cross multiply
    13,752.50x = 20,659 × 20,659
  4. Step 4: Simplify right side
    13,752.50x = 426,794,281
  5. Step 5: Solve for x
    x = 426,794,281/13,752.50
  6. Step 6: Final answer
    x = 31,033.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.