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Finding the Third Proportional to 27.19 and 46.13

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Solution

The third proportional to 27.19 and 46.13 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 46.13 = 46.13 : x
  2. Step 2: Convert to fraction form
    27.19/46.13 = 46.13/x
  3. Step 3: Cross multiply
    27.19x = 46.13 × 46.13
  4. Step 4: Simplify right side
    27.19x = 2,127.52
  5. Step 5: Solve for x
    x = 2,127.52/27.19
  6. Step 6: Final answer
    x = 78.25

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.