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Finding the Third Proportional to 4.95 and 9.35

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Solution

The third proportional to 4.95 and 9.35 is: 17.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.95 : 9.35 = 9.35 : x
  2. Step 2: Convert to fraction form
    4.95/9.35 = 9.35/x
  3. Step 3: Cross multiply
    4.95x = 9.35 × 9.35
  4. Step 4: Simplify right side
    4.95x = 87.34
  5. Step 5: Solve for x
    x = 87.34/4.95
  6. Step 6: Final answer
    x = 17.65

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.