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Finding the Third Proportional to 1,305.65 and 3,062.65

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Solution

The third proportional to 1,305.65 and 3,062.65 is: 7,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.65 : 3,062.65 = 3,062.65 : x
  2. Step 2: Convert to fraction form
    1,305.65/3,062.65 = 3,062.65/x
  3. Step 3: Cross multiply
    1,305.65x = 3,062.65 × 3,062.65
  4. Step 4: Simplify right side
    1,305.65x = 9,379,851.34
  5. Step 5: Solve for x
    x = 9,379,851.34/1,305.65
  6. Step 6: Final answer
    x = 7,184.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.