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Finding the Third Proportional to 44,618 and 71,751

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Solution

The third proportional to 44,618 and 71,751 is: 115,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,618 : 71,751 = 71,751 : x
  2. Step 2: Convert to fraction form
    44,618/71,751 = 71,751/x
  3. Step 3: Cross multiply
    44,618x = 71,751 × 71,751
  4. Step 4: Simplify right side
    44,618x = 5,148,206,001
  5. Step 5: Solve for x
    x = 5,148,206,001/44,618
  6. Step 6: Final answer
    x = 115,384.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.