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Finding the Third Proportional to 6,733.13 and 10,280.67

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Solution

The third proportional to 6,733.13 and 10,280.67 is: 15,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.13 : 10,280.67 = 10,280.67 : x
  2. Step 2: Convert to fraction form
    6,733.13/10,280.67 = 10,280.67/x
  3. Step 3: Cross multiply
    6,733.13x = 10,280.67 × 10,280.67
  4. Step 4: Simplify right side
    6,733.13x = 105,692,214.20
  5. Step 5: Solve for x
    x = 105,692,214.20/6,733.13
  6. Step 6: Final answer
    x = 15,697.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.