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Finding the Third Proportional to 18.77 and 29.00

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Solution

The third proportional to 18.77 and 29.00 is: 44.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.77 : 29.00 = 29.00 : x
  2. Step 2: Convert to fraction form
    18.77/29.00 = 29.00/x
  3. Step 3: Cross multiply
    18.77x = 29.00 × 29.00
  4. Step 4: Simplify right side
    18.77x = 841.23
  5. Step 5: Solve for x
    x = 841.23/18.77
  6. Step 6: Final answer
    x = 44.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.