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Finding the Third Proportional to 35 and 65.88

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Solution

The third proportional to 35 and 65.88 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 65.88 = 65.88 : x
  2. Step 2: Convert to fraction form
    35/65.88 = 65.88/x
  3. Step 3: Cross multiply
    35x = 65.88 × 65.88
  4. Step 4: Simplify right side
    35x = 4,339.52
  5. Step 5: Solve for x
    x = 4,339.52/35
  6. Step 6: Final answer
    x = 123.99

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.