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Finding the Third Proportional to 46.04 and 66.57

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Solution

The third proportional to 46.04 and 66.57 is: 96.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.04 : 66.57 = 66.57 : x
  2. Step 2: Convert to fraction form
    46.04/66.57 = 66.57/x
  3. Step 3: Cross multiply
    46.04x = 66.57 × 66.57
  4. Step 4: Simplify right side
    46.04x = 4,431.61
  5. Step 5: Solve for x
    x = 4,431.61/46.04
  6. Step 6: Final answer
    x = 96.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.