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Finding the Third Proportional to 34,750.13 and 76,266.56

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Solution

The third proportional to 34,750.13 and 76,266.56 is: 167,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750.13 : 76,266.56 = 76,266.56 : x
  2. Step 2: Convert to fraction form
    34,750.13/76,266.56 = 76,266.56/x
  3. Step 3: Cross multiply
    34,750.13x = 76,266.56 × 76,266.56
  4. Step 4: Simplify right side
    34,750.13x = 5,816,588,555.57
  5. Step 5: Solve for x
    x = 5,816,588,555.57/34,750.13
  6. Step 6: Final answer
    x = 167,383.24

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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.