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Finding the Third Proportional to 11,524 and 17,618

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Solution

The third proportional to 11,524 and 17,618 is: 26,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 17,618 = 17,618 : x
  2. Step 2: Convert to fraction form
    11,524/17,618 = 17,618/x
  3. Step 3: Cross multiply
    11,524x = 17,618 × 17,618
  4. Step 4: Simplify right side
    11,524x = 310,393,924
  5. Step 5: Solve for x
    x = 310,393,924/11,524
  6. Step 6: Final answer
    x = 26,934.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.