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Finding the Third Proportional to 30,258 and 44,414

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Solution

The third proportional to 30,258 and 44,414 is: 65,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258 : 44,414 = 44,414 : x
  2. Step 2: Convert to fraction form
    30,258/44,414 = 44,414/x
  3. Step 3: Cross multiply
    30,258x = 44,414 × 44,414
  4. Step 4: Simplify right side
    30,258x = 1,972,603,396
  5. Step 5: Solve for x
    x = 1,972,603,396/30,258
  6. Step 6: Final answer
    x = 65,192.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.