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Finding the Third Proportional to 29.37 and 45.40

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Solution

The third proportional to 29.37 and 45.40 is: 70.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.37 : 45.40 = 45.40 : x
  2. Step 2: Convert to fraction form
    29.37/45.40 = 45.40/x
  3. Step 3: Cross multiply
    29.37x = 45.40 × 45.40
  4. Step 4: Simplify right side
    29.37x = 2,061.02
  5. Step 5: Solve for x
    x = 2,061.02/29.37
  6. Step 6: Final answer
    x = 70.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.