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Finding the Third Proportional to 8,126 and 11,618

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Solution

The third proportional to 8,126 and 11,618 is: 16,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126 : 11,618 = 11,618 : x
  2. Step 2: Convert to fraction form
    8,126/11,618 = 11,618/x
  3. Step 3: Cross multiply
    8,126x = 11,618 × 11,618
  4. Step 4: Simplify right side
    8,126x = 134,977,924
  5. Step 5: Solve for x
    x = 134,977,924/8,126
  6. Step 6: Final answer
    x = 16,610.62

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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.