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Finding the Third Proportional to 2,095.56 and 4,440.92

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Solution

The third proportional to 2,095.56 and 4,440.92 is: 9,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.56 : 4,440.92 = 4,440.92 : x
  2. Step 2: Convert to fraction form
    2,095.56/4,440.92 = 4,440.92/x
  3. Step 3: Cross multiply
    2,095.56x = 4,440.92 × 4,440.92
  4. Step 4: Simplify right side
    2,095.56x = 19,721,769.75
  5. Step 5: Solve for x
    x = 19,721,769.75/2,095.56
  6. Step 6: Final answer
    x = 9,411.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.