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Finding the Third Proportional to 7,812 and 11,169

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Solution

The third proportional to 7,812 and 11,169 is: 15,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 11,169 = 11,169 : x
  2. Step 2: Convert to fraction form
    7,812/11,169 = 11,169/x
  3. Step 3: Cross multiply
    7,812x = 11,169 × 11,169
  4. Step 4: Simplify right side
    7,812x = 124,746,561
  5. Step 5: Solve for x
    x = 124,746,561/7,812
  6. Step 6: Final answer
    x = 15,968.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.