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Finding the Third Proportional to 12,524.63 and 27,114.75

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Solution

The third proportional to 12,524.63 and 27,114.75 is: 58,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.63 : 27,114.75 = 27,114.75 : x
  2. Step 2: Convert to fraction form
    12,524.63/27,114.75 = 27,114.75/x
  3. Step 3: Cross multiply
    12,524.63x = 27,114.75 × 27,114.75
  4. Step 4: Simplify right side
    12,524.63x = 735,209,667.56
  5. Step 5: Solve for x
    x = 735,209,667.56/12,524.63
  6. Step 6: Final answer
    x = 58,701.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.