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Finding the Third Proportional to 7,743 and 12,465

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Solution

The third proportional to 7,743 and 12,465 is: 20,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 12,465 = 12,465 : x
  2. Step 2: Convert to fraction form
    7,743/12,465 = 12,465/x
  3. Step 3: Cross multiply
    7,743x = 12,465 × 12,465
  4. Step 4: Simplify right side
    7,743x = 155,376,225
  5. Step 5: Solve for x
    x = 155,376,225/7,743
  6. Step 6: Final answer
    x = 20,066.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.