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Finding the Third Proportional to 1,514.64 and 2,339.51

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Solution

The third proportional to 1,514.64 and 2,339.51 is: 3,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.64 : 2,339.51 = 2,339.51 : x
  2. Step 2: Convert to fraction form
    1,514.64/2,339.51 = 2,339.51/x
  3. Step 3: Cross multiply
    1,514.64x = 2,339.51 × 2,339.51
  4. Step 4: Simplify right side
    1,514.64x = 5,473,296.80
  5. Step 5: Solve for x
    x = 5,473,296.80/1,514.64
  6. Step 6: Final answer
    x = 3,613.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.