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Finding the Third Proportional to 1,281.09 and 2,801.81

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Solution

The third proportional to 1,281.09 and 2,801.81 is: 6,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.09 : 2,801.81 = 2,801.81 : x
  2. Step 2: Convert to fraction form
    1,281.09/2,801.81 = 2,801.81/x
  3. Step 3: Cross multiply
    1,281.09x = 2,801.81 × 2,801.81
  4. Step 4: Simplify right side
    1,281.09x = 7,850,153.29
  5. Step 5: Solve for x
    x = 7,850,153.29/1,281.09
  6. Step 6: Final answer
    x = 6,127.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.