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Finding the Third Proportional to 19.13 and 29.58

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Solution

The third proportional to 19.13 and 29.58 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.13 : 29.58 = 29.58 : x
  2. Step 2: Convert to fraction form
    19.13/29.58 = 29.58/x
  3. Step 3: Cross multiply
    19.13x = 29.58 × 29.58
  4. Step 4: Simplify right side
    19.13x = 874.87
  5. Step 5: Solve for x
    x = 874.87/19.13
  6. Step 6: Final answer
    x = 45.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.