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Finding the Third Proportional to 13,537.88 and 28,159.13

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Solution

The third proportional to 13,537.88 and 28,159.13 is: 58,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.88 : 28,159.13 = 28,159.13 : x
  2. Step 2: Convert to fraction form
    13,537.88/28,159.13 = 28,159.13/x
  3. Step 3: Cross multiply
    13,537.88x = 28,159.13 × 28,159.13
  4. Step 4: Simplify right side
    13,537.88x = 792,936,320.77
  5. Step 5: Solve for x
    x = 792,936,320.77/13,537.88
  6. Step 6: Final answer
    x = 58,571.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.