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Finding the Third Proportional to 34,860 and 54,053

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Solution

The third proportional to 34,860 and 54,053 is: 83,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,860 : 54,053 = 54,053 : x
  2. Step 2: Convert to fraction form
    34,860/54,053 = 54,053/x
  3. Step 3: Cross multiply
    34,860x = 54,053 × 54,053
  4. Step 4: Simplify right side
    34,860x = 2,921,726,809
  5. Step 5: Solve for x
    x = 2,921,726,809/34,860
  6. Step 6: Final answer
    x = 83,813.16

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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.