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Finding the Third Proportional to 1,510.84 and 3,115.65

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Solution

The third proportional to 1,510.84 and 3,115.65 is: 6,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.84 : 3,115.65 = 3,115.65 : x
  2. Step 2: Convert to fraction form
    1,510.84/3,115.65 = 3,115.65/x
  3. Step 3: Cross multiply
    1,510.84x = 3,115.65 × 3,115.65
  4. Step 4: Simplify right side
    1,510.84x = 9,707,289.53
  5. Step 5: Solve for x
    x = 9,707,289.53/1,510.84
  6. Step 6: Final answer
    x = 6,425.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.