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Finding the Third Proportional to 6,201 and 8,113.50

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Solution

The third proportional to 6,201 and 8,113.50 is: 10,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201 : 8,113.50 = 8,113.50 : x
  2. Step 2: Convert to fraction form
    6,201/8,113.50 = 8,113.50/x
  3. Step 3: Cross multiply
    6,201x = 8,113.50 × 8,113.50
  4. Step 4: Simplify right side
    6,201x = 65,828,882.25
  5. Step 5: Solve for x
    x = 65,828,882.25/6,201
  6. Step 6: Final answer
    x = 10,615.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.