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Finding the Third Proportional to 1,510.31 and 2,286.35

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Solution

The third proportional to 1,510.31 and 2,286.35 is: 3,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.31 : 2,286.35 = 2,286.35 : x
  2. Step 2: Convert to fraction form
    1,510.31/2,286.35 = 2,286.35/x
  3. Step 3: Cross multiply
    1,510.31x = 2,286.35 × 2,286.35
  4. Step 4: Simplify right side
    1,510.31x = 5,227,403.47
  5. Step 5: Solve for x
    x = 5,227,403.47/1,510.31
  6. Step 6: Final answer
    x = 3,461.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.