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Finding the Third Proportional to 1,514.00 and 2,430.95

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Solution

The third proportional to 1,514.00 and 2,430.95 is: 3,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.00 : 2,430.95 = 2,430.95 : x
  2. Step 2: Convert to fraction form
    1,514.00/2,430.95 = 2,430.95/x
  3. Step 3: Cross multiply
    1,514.00x = 2,430.95 × 2,430.95
  4. Step 4: Simplify right side
    1,514.00x = 5,909,514.10
  5. Step 5: Solve for x
    x = 5,909,514.10/1,514.00
  6. Step 6: Final answer
    x = 3,903.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.