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Finding the Third Proportional to 12,415.08 and 27,151.17

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Solution

The third proportional to 12,415.08 and 27,151.17 is: 59,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.08 : 27,151.17 = 27,151.17 : x
  2. Step 2: Convert to fraction form
    12,415.08/27,151.17 = 27,151.17/x
  3. Step 3: Cross multiply
    12,415.08x = 27,151.17 × 27,151.17
  4. Step 4: Simplify right side
    12,415.08x = 737,186,134.19
  5. Step 5: Solve for x
    x = 737,186,134.19/12,415.08
  6. Step 6: Final answer
    x = 59,378.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.