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Finding the Third Proportional to 16,258.50 and 34,935

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Solution

The third proportional to 16,258.50 and 34,935 is: 75,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.50 : 34,935 = 34,935 : x
  2. Step 2: Convert to fraction form
    16,258.50/34,935 = 34,935/x
  3. Step 3: Cross multiply
    16,258.50x = 34,935 × 34,935
  4. Step 4: Simplify right side
    16,258.50x = 1,220,454,225
  5. Step 5: Solve for x
    x = 1,220,454,225/16,258.50
  6. Step 6: Final answer
    x = 75,065.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.