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Finding the Third Proportional to 6,618 and 10,007

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Solution

The third proportional to 6,618 and 10,007 is: 15,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618 : 10,007 = 10,007 : x
  2. Step 2: Convert to fraction form
    6,618/10,007 = 10,007/x
  3. Step 3: Cross multiply
    6,618x = 10,007 × 10,007
  4. Step 4: Simplify right side
    6,618x = 100,140,049
  5. Step 5: Solve for x
    x = 100,140,049/6,618
  6. Step 6: Final answer
    x = 15,131.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.