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Finding the Third Proportional to 35.65 and 49.57

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Solution

The third proportional to 35.65 and 49.57 is: 68.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.65 : 49.57 = 49.57 : x
  2. Step 2: Convert to fraction form
    35.65/49.57 = 49.57/x
  3. Step 3: Cross multiply
    35.65x = 49.57 × 49.57
  4. Step 4: Simplify right side
    35.65x = 2,457.22
  5. Step 5: Solve for x
    x = 2,457.22/35.65
  6. Step 6: Final answer
    x = 68.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.