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Finding the Third Proportional to 45.14 and 70.31

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Solution

The third proportional to 45.14 and 70.31 is: 109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 70.31 = 70.31 : x
  2. Step 2: Convert to fraction form
    45.14/70.31 = 70.31/x
  3. Step 3: Cross multiply
    45.14x = 70.31 × 70.31
  4. Step 4: Simplify right side
    45.14x = 4,943.85
  5. Step 5: Solve for x
    x = 4,943.85/45.14
  6. Step 6: Final answer
    x = 109.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.