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Finding the Third Proportional to 35,448 and 77,087

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Solution

The third proportional to 35,448 and 77,087 is: 167,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,448 : 77,087 = 77,087 : x
  2. Step 2: Convert to fraction form
    35,448/77,087 = 77,087/x
  3. Step 3: Cross multiply
    35,448x = 77,087 × 77,087
  4. Step 4: Simplify right side
    35,448x = 5,942,405,569
  5. Step 5: Solve for x
    x = 5,942,405,569/35,448
  6. Step 6: Final answer
    x = 167,637.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.