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Finding the Third Proportional to 1,326.66 and 2,881.48

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Solution

The third proportional to 1,326.66 and 2,881.48 is: 6,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.66 : 2,881.48 = 2,881.48 : x
  2. Step 2: Convert to fraction form
    1,326.66/2,881.48 = 2,881.48/x
  3. Step 3: Cross multiply
    1,326.66x = 2,881.48 × 2,881.48
  4. Step 4: Simplify right side
    1,326.66x = 8,302,907.18
  5. Step 5: Solve for x
    x = 8,302,907.18/1,326.66
  6. Step 6: Final answer
    x = 6,258.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.