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Finding the Third Proportional to 1,577.81 and 2,335.92

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Solution

The third proportional to 1,577.81 and 2,335.92 is: 3,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.81 : 2,335.92 = 2,335.92 : x
  2. Step 2: Convert to fraction form
    1,577.81/2,335.92 = 2,335.92/x
  3. Step 3: Cross multiply
    1,577.81x = 2,335.92 × 2,335.92
  4. Step 4: Simplify right side
    1,577.81x = 5,456,531.01
  5. Step 5: Solve for x
    x = 5,456,531.01/1,577.81
  6. Step 6: Final answer
    x = 3,458.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.