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Finding the Third Proportional to 37,306.50 and 92,617.50

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Solution

The third proportional to 37,306.50 and 92,617.50 is: 229,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306.50 : 92,617.50 = 92,617.50 : x
  2. Step 2: Convert to fraction form
    37,306.50/92,617.50 = 92,617.50/x
  3. Step 3: Cross multiply
    37,306.50x = 92,617.50 × 92,617.50
  4. Step 4: Simplify right side
    37,306.50x = 8,578,001,306.25
  5. Step 5: Solve for x
    x = 8,578,001,306.25/37,306.50
  6. Step 6: Final answer
    x = 229,933.16

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.