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Finding the Third Proportional to 34,673 and 67,618

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Solution

The third proportional to 34,673 and 67,618 is: 131,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,673 : 67,618 = 67,618 : x
  2. Step 2: Convert to fraction form
    34,673/67,618 = 67,618/x
  3. Step 3: Cross multiply
    34,673x = 67,618 × 67,618
  4. Step 4: Simplify right side
    34,673x = 4,572,193,924
  5. Step 5: Solve for x
    x = 4,572,193,924/34,673
  6. Step 6: Final answer
    x = 131,866.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.