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Finding the Third Proportional to 29.88 and 45.70

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Solution

The third proportional to 29.88 and 45.70 is: 69.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.88 : 45.70 = 45.70 : x
  2. Step 2: Convert to fraction form
    29.88/45.70 = 45.70/x
  3. Step 3: Cross multiply
    29.88x = 45.70 × 45.70
  4. Step 4: Simplify right side
    29.88x = 2,088.78
  5. Step 5: Solve for x
    x = 2,088.78/29.88
  6. Step 6: Final answer
    x = 69.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.