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Finding the Third Proportional to 19.55 and 40.46

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Solution

The third proportional to 19.55 and 40.46 is: 83.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.55 : 40.46 = 40.46 : x
  2. Step 2: Convert to fraction form
    19.55/40.46 = 40.46/x
  3. Step 3: Cross multiply
    19.55x = 40.46 × 40.46
  4. Step 4: Simplify right side
    19.55x = 1,637.40
  5. Step 5: Solve for x
    x = 1,637.40/19.55
  6. Step 6: Final answer
    x = 83.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.