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Finding the Third Proportional to 35,740.50 and 68,241

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Solution

The third proportional to 35,740.50 and 68,241 is: 130,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.50 : 68,241 = 68,241 : x
  2. Step 2: Convert to fraction form
    35,740.50/68,241 = 68,241/x
  3. Step 3: Cross multiply
    35,740.50x = 68,241 × 68,241
  4. Step 4: Simplify right side
    35,740.50x = 4,656,834,081
  5. Step 5: Solve for x
    x = 4,656,834,081/35,740.50
  6. Step 6: Final answer
    x = 130,295.72

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.