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Finding the Third Proportional to 13,240.75 and 27,398.06

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Solution

The third proportional to 13,240.75 and 27,398.06 is: 56,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.75 : 27,398.06 = 27,398.06 : x
  2. Step 2: Convert to fraction form
    13,240.75/27,398.06 = 27,398.06/x
  3. Step 3: Cross multiply
    13,240.75x = 27,398.06 × 27,398.06
  4. Step 4: Simplify right side
    13,240.75x = 750,653,828.75
  5. Step 5: Solve for x
    x = 750,653,828.75/13,240.75
  6. Step 6: Final answer
    x = 56,692.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.