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Finding the Third Proportional to 35,302.50 and 54,081

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Solution

The third proportional to 35,302.50 and 54,081 is: 82,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302.50 : 54,081 = 54,081 : x
  2. Step 2: Convert to fraction form
    35,302.50/54,081 = 54,081/x
  3. Step 3: Cross multiply
    35,302.50x = 54,081 × 54,081
  4. Step 4: Simplify right side
    35,302.50x = 2,924,754,561
  5. Step 5: Solve for x
    x = 2,924,754,561/35,302.50
  6. Step 6: Final answer
    x = 82,848.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.