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Finding the Third Proportional to 46.24 and 78.60

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Solution

The third proportional to 46.24 and 78.60 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.24 : 78.60 = 78.60 : x
  2. Step 2: Convert to fraction form
    46.24/78.60 = 78.60/x
  3. Step 3: Cross multiply
    46.24x = 78.60 × 78.60
  4. Step 4: Simplify right side
    46.24x = 6,178.22
  5. Step 5: Solve for x
    x = 6,178.22/46.24
  6. Step 6: Final answer
    x = 133.62

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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.