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Finding the Third Proportional to 1,009 and 1,514.13

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Solution

The third proportional to 1,009 and 1,514.13 is: 2,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,514.13 = 1,514.13 : x
  2. Step 2: Convert to fraction form
    1,009/1,514.13 = 1,514.13/x
  3. Step 3: Cross multiply
    1,009x = 1,514.13 × 1,514.13
  4. Step 4: Simplify right side
    1,009x = 2,292,574.52
  5. Step 5: Solve for x
    x = 2,292,574.52/1,009
  6. Step 6: Final answer
    x = 2,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.