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Finding the Third Proportional to 30,034 and 44,943

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Solution

The third proportional to 30,034 and 44,943 is: 67,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034 : 44,943 = 44,943 : x
  2. Step 2: Convert to fraction form
    30,034/44,943 = 44,943/x
  3. Step 3: Cross multiply
    30,034x = 44,943 × 44,943
  4. Step 4: Simplify right side
    30,034x = 2,019,873,249
  5. Step 5: Solve for x
    x = 2,019,873,249/30,034
  6. Step 6: Final answer
    x = 67,252.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.