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Finding the Third Proportional to 7,176 and 15,766.50

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Solution

The third proportional to 7,176 and 15,766.50 is: 34,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 15,766.50 = 15,766.50 : x
  2. Step 2: Convert to fraction form
    7,176/15,766.50 = 15,766.50/x
  3. Step 3: Cross multiply
    7,176x = 15,766.50 × 15,766.50
  4. Step 4: Simplify right side
    7,176x = 248,582,522.25
  5. Step 5: Solve for x
    x = 248,582,522.25/7,176
  6. Step 6: Final answer
    x = 34,640.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.