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Finding the Third Proportional to 10,512 and 22,618

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Solution

The third proportional to 10,512 and 22,618 is: 48,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 22,618 = 22,618 : x
  2. Step 2: Convert to fraction form
    10,512/22,618 = 22,618/x
  3. Step 3: Cross multiply
    10,512x = 22,618 × 22,618
  4. Step 4: Simplify right side
    10,512x = 511,573,924
  5. Step 5: Solve for x
    x = 511,573,924/10,512
  6. Step 6: Final answer
    x = 48,665.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.