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Finding the Third Proportional to 27,756 and 40,657.50

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Solution

The third proportional to 27,756 and 40,657.50 is: 59,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 40,657.50 = 40,657.50 : x
  2. Step 2: Convert to fraction form
    27,756/40,657.50 = 40,657.50/x
  3. Step 3: Cross multiply
    27,756x = 40,657.50 × 40,657.50
  4. Step 4: Simplify right side
    27,756x = 1,653,032,306.25
  5. Step 5: Solve for x
    x = 1,653,032,306.25/27,756
  6. Step 6: Final answer
    x = 59,555.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.