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Finding the Third Proportional to 1,444.83 and 3,127.79

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Solution

The third proportional to 1,444.83 and 3,127.79 is: 6,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.83 : 3,127.79 = 3,127.79 : x
  2. Step 2: Convert to fraction form
    1,444.83/3,127.79 = 3,127.79/x
  3. Step 3: Cross multiply
    1,444.83x = 3,127.79 × 3,127.79
  4. Step 4: Simplify right side
    1,444.83x = 9,783,098.02
  5. Step 5: Solve for x
    x = 9,783,098.02/1,444.83
  6. Step 6: Final answer
    x = 6,771.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.