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Finding the Third Proportional to 13,524.75 and 28,999.13

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Solution

The third proportional to 13,524.75 and 28,999.13 is: 62,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.75 : 28,999.13 = 28,999.13 : x
  2. Step 2: Convert to fraction form
    13,524.75/28,999.13 = 28,999.13/x
  3. Step 3: Cross multiply
    13,524.75x = 28,999.13 × 28,999.13
  4. Step 4: Simplify right side
    13,524.75x = 840,949,250.77
  5. Step 5: Solve for x
    x = 840,949,250.77/13,524.75
  6. Step 6: Final answer
    x = 62,178.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.