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Finding the Third Proportional to 58.50 and 92.95

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Solution

The third proportional to 58.50 and 92.95 is: 147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 92.95 = 92.95 : x
  2. Step 2: Convert to fraction form
    58.50/92.95 = 92.95/x
  3. Step 3: Cross multiply
    58.50x = 92.95 × 92.95
  4. Step 4: Simplify right side
    58.50x = 8,640.28
  5. Step 5: Solve for x
    x = 8,640.28/58.50
  6. Step 6: Final answer
    x = 147.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.