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Finding the Third Proportional to 3,786 and 8,275.50

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Solution

The third proportional to 3,786 and 8,275.50 is: 18,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 8,275.50 = 8,275.50 : x
  2. Step 2: Convert to fraction form
    3,786/8,275.50 = 8,275.50/x
  3. Step 3: Cross multiply
    3,786x = 8,275.50 × 8,275.50
  4. Step 4: Simplify right side
    3,786x = 68,483,900.25
  5. Step 5: Solve for x
    x = 68,483,900.25/3,786
  6. Step 6: Final answer
    x = 18,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.