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Finding the Third Proportional to 36,291.50 and 77,767

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Solution

The third proportional to 36,291.50 and 77,767 is: 166,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291.50 : 77,767 = 77,767 : x
  2. Step 2: Convert to fraction form
    36,291.50/77,767 = 77,767/x
  3. Step 3: Cross multiply
    36,291.50x = 77,767 × 77,767
  4. Step 4: Simplify right side
    36,291.50x = 6,047,706,289
  5. Step 5: Solve for x
    x = 6,047,706,289/36,291.50
  6. Step 6: Final answer
    x = 166,642.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.