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Finding the Third Proportional to 913.46 and 1,515.43

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Solution

The third proportional to 913.46 and 1,515.43 is: 2,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.46 : 1,515.43 = 1,515.43 : x
  2. Step 2: Convert to fraction form
    913.46/1,515.43 = 1,515.43/x
  3. Step 3: Cross multiply
    913.46x = 1,515.43 × 1,515.43
  4. Step 4: Simplify right side
    913.46x = 2,296,521.22
  5. Step 5: Solve for x
    x = 2,296,521.22/913.46
  6. Step 6: Final answer
    x = 2,514.08

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.