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Finding the Third Proportional to 30,618 and 71,003.25

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Solution

The third proportional to 30,618 and 71,003.25 is: 164,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 71,003.25 = 71,003.25 : x
  2. Step 2: Convert to fraction form
    30,618/71,003.25 = 71,003.25/x
  3. Step 3: Cross multiply
    30,618x = 71,003.25 × 71,003.25
  4. Step 4: Simplify right side
    30,618x = 5,041,461,510.56
  5. Step 5: Solve for x
    x = 5,041,461,510.56/30,618
  6. Step 6: Final answer
    x = 164,656.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.