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Finding the Third Proportional to 29.90 and 47.70

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Solution

The third proportional to 29.90 and 47.70 is: 76.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 47.70 = 47.70 : x
  2. Step 2: Convert to fraction form
    29.90/47.70 = 47.70/x
  3. Step 3: Cross multiply
    29.90x = 47.70 × 47.70
  4. Step 4: Simplify right side
    29.90x = 2,275.12
  5. Step 5: Solve for x
    x = 2,275.12/29.90
  6. Step 6: Final answer
    x = 76.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.