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Finding the Third Proportional to 15,754 and 34,618

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Solution

The third proportional to 15,754 and 34,618 is: 76,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754 : 34,618 = 34,618 : x
  2. Step 2: Convert to fraction form
    15,754/34,618 = 34,618/x
  3. Step 3: Cross multiply
    15,754x = 34,618 × 34,618
  4. Step 4: Simplify right side
    15,754x = 1,198,405,924
  5. Step 5: Solve for x
    x = 1,198,405,924/15,754
  6. Step 6: Final answer
    x = 76,069.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.