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Finding the Third Proportional to 30,442 and 44,521

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Solution

The third proportional to 30,442 and 44,521 is: 65,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442 : 44,521 = 44,521 : x
  2. Step 2: Convert to fraction form
    30,442/44,521 = 44,521/x
  3. Step 3: Cross multiply
    30,442x = 44,521 × 44,521
  4. Step 4: Simplify right side
    30,442x = 1,982,119,441
  5. Step 5: Solve for x
    x = 1,982,119,441/30,442
  6. Step 6: Final answer
    x = 65,111.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.