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Finding the Third Proportional to 6,642 and 10,905

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Solution

The third proportional to 6,642 and 10,905 is: 17,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642 : 10,905 = 10,905 : x
  2. Step 2: Convert to fraction form
    6,642/10,905 = 10,905/x
  3. Step 3: Cross multiply
    6,642x = 10,905 × 10,905
  4. Step 4: Simplify right side
    6,642x = 118,919,025
  5. Step 5: Solve for x
    x = 118,919,025/6,642
  6. Step 6: Final answer
    x = 17,904.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.