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Finding the Third Proportional to 34,878.50 and 76,277

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Solution

The third proportional to 34,878.50 and 76,277 is: 166,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878.50 : 76,277 = 76,277 : x
  2. Step 2: Convert to fraction form
    34,878.50/76,277 = 76,277/x
  3. Step 3: Cross multiply
    34,878.50x = 76,277 × 76,277
  4. Step 4: Simplify right side
    34,878.50x = 5,818,180,729
  5. Step 5: Solve for x
    x = 5,818,180,729/34,878.50
  6. Step 6: Final answer
    x = 166,812.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.