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Finding the Third Proportional to 14.78 and 26.19

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Solution

The third proportional to 14.78 and 26.19 is: 46.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 26.19 = 26.19 : x
  2. Step 2: Convert to fraction form
    14.78/26.19 = 26.19/x
  3. Step 3: Cross multiply
    14.78x = 26.19 × 26.19
  4. Step 4: Simplify right side
    14.78x = 685.79
  5. Step 5: Solve for x
    x = 685.79/14.78
  6. Step 6: Final answer
    x = 46.40

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.