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Finding the Third Proportional to 1,514.81 and 3,292.88

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Solution

The third proportional to 1,514.81 and 3,292.88 is: 7,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.81 : 3,292.88 = 3,292.88 : x
  2. Step 2: Convert to fraction form
    1,514.81/3,292.88 = 3,292.88/x
  3. Step 3: Cross multiply
    1,514.81x = 3,292.88 × 3,292.88
  4. Step 4: Simplify right side
    1,514.81x = 10,843,025.77
  5. Step 5: Solve for x
    x = 10,843,025.77/1,514.81
  6. Step 6: Final answer
    x = 7,158.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.