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Finding the Third Proportional to 1,514.53 and 2,430.42

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Solution

The third proportional to 1,514.53 and 2,430.42 is: 3,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.53 : 2,430.42 = 2,430.42 : x
  2. Step 2: Convert to fraction form
    1,514.53/2,430.42 = 2,430.42/x
  3. Step 3: Cross multiply
    1,514.53x = 2,430.42 × 2,430.42
  4. Step 4: Simplify right side
    1,514.53x = 5,906,950.49
  5. Step 5: Solve for x
    x = 5,906,950.49/1,514.53
  6. Step 6: Final answer
    x = 3,900.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.