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Finding the Third Proportional to 1,510.97 and 3,298.69

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Solution

The third proportional to 1,510.97 and 3,298.69 is: 7,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.97 : 3,298.69 = 3,298.69 : x
  2. Step 2: Convert to fraction form
    1,510.97/3,298.69 = 3,298.69/x
  3. Step 3: Cross multiply
    1,510.97x = 3,298.69 × 3,298.69
  4. Step 4: Simplify right side
    1,510.97x = 10,881,339.22
  5. Step 5: Solve for x
    x = 10,881,339.22/1,510.97
  6. Step 6: Final answer
    x = 7,201.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.