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Finding the Third Proportional to 30,618 and 44,145

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Solution

The third proportional to 30,618 and 44,145 is: 63,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 44,145 = 44,145 : x
  2. Step 2: Convert to fraction form
    30,618/44,145 = 44,145/x
  3. Step 3: Cross multiply
    30,618x = 44,145 × 44,145
  4. Step 4: Simplify right side
    30,618x = 1,948,781,025
  5. Step 5: Solve for x
    x = 1,948,781,025/30,618
  6. Step 6: Final answer
    x = 63,648.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.