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Finding the Third Proportional to 46.95 and 68.58

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Solution

The third proportional to 46.95 and 68.58 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.95 : 68.58 = 68.58 : x
  2. Step 2: Convert to fraction form
    46.95/68.58 = 68.58/x
  3. Step 3: Cross multiply
    46.95x = 68.58 × 68.58
  4. Step 4: Simplify right side
    46.95x = 4,703.36
  5. Step 5: Solve for x
    x = 4,703.36/46.95
  6. Step 6: Final answer
    x = 100.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.