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Finding the Third Proportional to 6,911 and 15,564

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Solution

The third proportional to 6,911 and 15,564 is: 35,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911 : 15,564 = 15,564 : x
  2. Step 2: Convert to fraction form
    6,911/15,564 = 15,564/x
  3. Step 3: Cross multiply
    6,911x = 15,564 × 15,564
  4. Step 4: Simplify right side
    6,911x = 242,238,096
  5. Step 5: Solve for x
    x = 242,238,096/6,911
  6. Step 6: Final answer
    x = 35,051.09

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.