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Finding the Third Proportional to 41.70 and 65.53

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Solution

The third proportional to 41.70 and 65.53 is: 102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.70 : 65.53 = 65.53 : x
  2. Step 2: Convert to fraction form
    41.70/65.53 = 65.53/x
  3. Step 3: Cross multiply
    41.70x = 65.53 × 65.53
  4. Step 4: Simplify right side
    41.70x = 4,294.34
  5. Step 5: Solve for x
    x = 4,294.34/41.70
  6. Step 6: Final answer
    x = 102.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.