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Finding the Third Proportional to 13.45 and 24.98

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Solution

The third proportional to 13.45 and 24.98 is: 46.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.45 : 24.98 = 24.98 : x
  2. Step 2: Convert to fraction form
    13.45/24.98 = 24.98/x
  3. Step 3: Cross multiply
    13.45x = 24.98 × 24.98
  4. Step 4: Simplify right side
    13.45x = 623.93
  5. Step 5: Solve for x
    x = 623.93/13.45
  6. Step 6: Final answer
    x = 46.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.