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Finding the Third Proportional to 34,661.25 and 53,775

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Solution

The third proportional to 34,661.25 and 53,775 is: 83,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661.25 : 53,775 = 53,775 : x
  2. Step 2: Convert to fraction form
    34,661.25/53,775 = 53,775/x
  3. Step 3: Cross multiply
    34,661.25x = 53,775 × 53,775
  4. Step 4: Simplify right side
    34,661.25x = 2,891,750,625
  5. Step 5: Solve for x
    x = 2,891,750,625/34,661.25
  6. Step 6: Final answer
    x = 83,428.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.