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Finding the Third Proportional to 33,262.50 and 39,414

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Solution

The third proportional to 33,262.50 and 39,414 is: 46,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,262.50 : 39,414 = 39,414 : x
  2. Step 2: Convert to fraction form
    33,262.50/39,414 = 39,414/x
  3. Step 3: Cross multiply
    33,262.50x = 39,414 × 39,414
  4. Step 4: Simplify right side
    33,262.50x = 1,553,463,396
  5. Step 5: Solve for x
    x = 1,553,463,396/33,262.50
  6. Step 6: Final answer
    x = 46,703.15

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.