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Finding the Third Proportional to 1,730.53 and 3,785.06

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Solution

The third proportional to 1,730.53 and 3,785.06 is: 8,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.53 : 3,785.06 = 3,785.06 : x
  2. Step 2: Convert to fraction form
    1,730.53/3,785.06 = 3,785.06/x
  3. Step 3: Cross multiply
    1,730.53x = 3,785.06 × 3,785.06
  4. Step 4: Simplify right side
    1,730.53x = 14,326,698.13
  5. Step 5: Solve for x
    x = 14,326,698.13/1,730.53
  6. Step 6: Final answer
    x = 8,278.79

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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.