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Finding the Third Proportional to 46.43 and 84.08

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Solution

The third proportional to 46.43 and 84.08 is: 152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.43 : 84.08 = 84.08 : x
  2. Step 2: Convert to fraction form
    46.43/84.08 = 84.08/x
  3. Step 3: Cross multiply
    46.43x = 84.08 × 84.08
  4. Step 4: Simplify right side
    46.43x = 7,070.28
  5. Step 5: Solve for x
    x = 7,070.28/46.43
  6. Step 6: Final answer
    x = 152.27

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.