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Finding the Third Proportional to 30,970 and 44,943

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Solution

The third proportional to 30,970 and 44,943 is: 65,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970 : 44,943 = 44,943 : x
  2. Step 2: Convert to fraction form
    30,970/44,943 = 44,943/x
  3. Step 3: Cross multiply
    30,970x = 44,943 × 44,943
  4. Step 4: Simplify right side
    30,970x = 2,019,873,249
  5. Step 5: Solve for x
    x = 2,019,873,249/30,970
  6. Step 6: Final answer
    x = 65,220.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.