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Finding the Third Proportional to 5,217 and 7,186.50

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Solution

The third proportional to 5,217 and 7,186.50 is: 9,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217 : 7,186.50 = 7,186.50 : x
  2. Step 2: Convert to fraction form
    5,217/7,186.50 = 7,186.50/x
  3. Step 3: Cross multiply
    5,217x = 7,186.50 × 7,186.50
  4. Step 4: Simplify right side
    5,217x = 51,645,782.25
  5. Step 5: Solve for x
    x = 51,645,782.25/5,217
  6. Step 6: Final answer
    x = 9,899.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.