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Finding the Third Proportional to 2,347.59 and 3,514.08

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Solution

The third proportional to 2,347.59 and 3,514.08 is: 5,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.59 : 3,514.08 = 3,514.08 : x
  2. Step 2: Convert to fraction form
    2,347.59/3,514.08 = 3,514.08/x
  3. Step 3: Cross multiply
    2,347.59x = 3,514.08 × 3,514.08
  4. Step 4: Simplify right side
    2,347.59x = 12,348,745.07
  5. Step 5: Solve for x
    x = 12,348,745.07/2,347.59
  6. Step 6: Final answer
    x = 5,260.17

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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.