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Finding the Third Proportional to 33,994.69 and 53,686.13

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Solution

The third proportional to 33,994.69 and 53,686.13 is: 84,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.69 : 53,686.13 = 53,686.13 : x
  2. Step 2: Convert to fraction form
    33,994.69/53,686.13 = 53,686.13/x
  3. Step 3: Cross multiply
    33,994.69x = 53,686.13 × 53,686.13
  4. Step 4: Simplify right side
    33,994.69x = 2,882,200,017.52
  5. Step 5: Solve for x
    x = 2,882,200,017.52/33,994.69
  6. Step 6: Final answer
    x = 84,783.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.