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Finding the Third Proportional to 1,514.95 and 3,327.01

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Solution

The third proportional to 1,514.95 and 3,327.01 is: 7,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.95 : 3,327.01 = 3,327.01 : x
  2. Step 2: Convert to fraction form
    1,514.95/3,327.01 = 3,327.01/x
  3. Step 3: Cross multiply
    1,514.95x = 3,327.01 × 3,327.01
  4. Step 4: Simplify right side
    1,514.95x = 11,069,006.98
  5. Step 5: Solve for x
    x = 11,069,006.98/1,514.95
  6. Step 6: Final answer
    x = 7,306.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.