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Finding the Third Proportional to 1,440.28 and 3,085.59

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Solution

The third proportional to 1,440.28 and 3,085.59 is: 6,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.28 : 3,085.59 = 3,085.59 : x
  2. Step 2: Convert to fraction form
    1,440.28/3,085.59 = 3,085.59/x
  3. Step 3: Cross multiply
    1,440.28x = 3,085.59 × 3,085.59
  4. Step 4: Simplify right side
    1,440.28x = 9,520,888.79
  5. Step 5: Solve for x
    x = 9,520,888.79/1,440.28
  6. Step 6: Final answer
    x = 6,610.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.