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Finding the Third Proportional to 48,726.75 and 73,410.75

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Solution

The third proportional to 48,726.75 and 73,410.75 is: 110,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726.75 : 73,410.75 = 73,410.75 : x
  2. Step 2: Convert to fraction form
    48,726.75/73,410.75 = 73,410.75/x
  3. Step 3: Cross multiply
    48,726.75x = 73,410.75 × 73,410.75
  4. Step 4: Simplify right side
    48,726.75x = 5,389,138,215.56
  5. Step 5: Solve for x
    x = 5,389,138,215.56/48,726.75
  6. Step 6: Final answer
    x = 110,599.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.