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Finding the Third Proportional to 12,415.75 and 27,062.75

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Solution

The third proportional to 12,415.75 and 27,062.75 is: 58,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.75 : 27,062.75 = 27,062.75 : x
  2. Step 2: Convert to fraction form
    12,415.75/27,062.75 = 27,062.75/x
  3. Step 3: Cross multiply
    12,415.75x = 27,062.75 × 27,062.75
  4. Step 4: Simplify right side
    12,415.75x = 732,392,437.56
  5. Step 5: Solve for x
    x = 732,392,437.56/12,415.75
  6. Step 6: Final answer
    x = 58,988.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.