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Finding the Third Proportional to 1,954.55 and 2,932.03

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Solution

The third proportional to 1,954.55 and 2,932.03 is: 4,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.55 : 2,932.03 = 2,932.03 : x
  2. Step 2: Convert to fraction form
    1,954.55/2,932.03 = 2,932.03/x
  3. Step 3: Cross multiply
    1,954.55x = 2,932.03 × 2,932.03
  4. Step 4: Simplify right side
    1,954.55x = 8,596,807.25
  5. Step 5: Solve for x
    x = 8,596,807.25/1,954.55
  6. Step 6: Final answer
    x = 4,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.