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Finding the Third Proportional to 7,407 and 9,880

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Solution

The third proportional to 7,407 and 9,880 is: 13,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 9,880 = 9,880 : x
  2. Step 2: Convert to fraction form
    7,407/9,880 = 9,880/x
  3. Step 3: Cross multiply
    7,407x = 9,880 × 9,880
  4. Step 4: Simplify right side
    7,407x = 97,614,400
  5. Step 5: Solve for x
    x = 97,614,400/7,407
  6. Step 6: Final answer
    x = 13,178.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.