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Finding the Third Proportional to 4,618 and 10,100

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Solution

The third proportional to 4,618 and 10,100 is: 22,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618 : 10,100 = 10,100 : x
  2. Step 2: Convert to fraction form
    4,618/10,100 = 10,100/x
  3. Step 3: Cross multiply
    4,618x = 10,100 × 10,100
  4. Step 4: Simplify right side
    4,618x = 102,010,000
  5. Step 5: Solve for x
    x = 102,010,000/4,618
  6. Step 6: Final answer
    x = 22,089.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.