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Finding the Third Proportional to 2,275.28 and 3,514.01

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Solution

The third proportional to 2,275.28 and 3,514.01 is: 5,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.28 : 3,514.01 = 3,514.01 : x
  2. Step 2: Convert to fraction form
    2,275.28/3,514.01 = 3,514.01/x
  3. Step 3: Cross multiply
    2,275.28x = 3,514.01 × 3,514.01
  4. Step 4: Simplify right side
    2,275.28x = 12,348,250.91
  5. Step 5: Solve for x
    x = 12,348,250.91/2,275.28
  6. Step 6: Final answer
    x = 5,427.14

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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.