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Finding the Third Proportional to 33,785 and 52,998

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Solution

The third proportional to 33,785 and 52,998 is: 83,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,785 : 52,998 = 52,998 : x
  2. Step 2: Convert to fraction form
    33,785/52,998 = 52,998/x
  3. Step 3: Cross multiply
    33,785x = 52,998 × 52,998
  4. Step 4: Simplify right side
    33,785x = 2,808,788,004
  5. Step 5: Solve for x
    x = 2,808,788,004/33,785
  6. Step 6: Final answer
    x = 83,137.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.