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Finding the Third Proportional to 33,645.38 and 70,776.28

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Solution

The third proportional to 33,645.38 and 70,776.28 is: 148,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.38 : 70,776.28 = 70,776.28 : x
  2. Step 2: Convert to fraction form
    33,645.38/70,776.28 = 70,776.28/x
  3. Step 3: Cross multiply
    33,645.38x = 70,776.28 × 70,776.28
  4. Step 4: Simplify right side
    33,645.38x = 5,009,281,987.58
  5. Step 5: Solve for x
    x = 5,009,281,987.58/33,645.38
  6. Step 6: Final answer
    x = 148,884.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.