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Finding the Third Proportional to 35,881.50 and 77,504

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Solution

The third proportional to 35,881.50 and 77,504 is: 167,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.50 : 77,504 = 77,504 : x
  2. Step 2: Convert to fraction form
    35,881.50/77,504 = 77,504/x
  3. Step 3: Cross multiply
    35,881.50x = 77,504 × 77,504
  4. Step 4: Simplify right side
    35,881.50x = 6,006,870,016
  5. Step 5: Solve for x
    x = 6,006,870,016/35,881.50
  6. Step 6: Final answer
    x = 167,408.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.