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Finding the Third Proportional to 36,414.56 and 77,203.13

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Solution

The third proportional to 36,414.56 and 77,203.13 is: 163,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414.56 : 77,203.13 = 77,203.13 : x
  2. Step 2: Convert to fraction form
    36,414.56/77,203.13 = 77,203.13/x
  3. Step 3: Cross multiply
    36,414.56x = 77,203.13 × 77,203.13
  4. Step 4: Simplify right side
    36,414.56x = 5,960,322,509.77
  5. Step 5: Solve for x
    x = 5,960,322,509.77/36,414.56
  6. Step 6: Final answer
    x = 163,679.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.