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Finding the Third Proportional to 14,672 and 34,618

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Solution

The third proportional to 14,672 and 34,618 is: 81,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672 : 34,618 = 34,618 : x
  2. Step 2: Convert to fraction form
    14,672/34,618 = 34,618/x
  3. Step 3: Cross multiply
    14,672x = 34,618 × 34,618
  4. Step 4: Simplify right side
    14,672x = 1,198,405,924
  5. Step 5: Solve for x
    x = 1,198,405,924/14,672
  6. Step 6: Final answer
    x = 81,679.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.