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Finding the Third Proportional to 33,426 and 44,370

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Solution

The third proportional to 33,426 and 44,370 is: 58,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,426 : 44,370 = 44,370 : x
  2. Step 2: Convert to fraction form
    33,426/44,370 = 44,370/x
  3. Step 3: Cross multiply
    33,426x = 44,370 × 44,370
  4. Step 4: Simplify right side
    33,426x = 1,968,696,900
  5. Step 5: Solve for x
    x = 1,968,696,900/33,426
  6. Step 6: Final answer
    x = 58,897.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.