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Finding the Third Proportional to 33,368.84 and 59,318.10

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Solution

The third proportional to 33,368.84 and 59,318.10 is: 105,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368.84 : 59,318.10 = 59,318.10 : x
  2. Step 2: Convert to fraction form
    33,368.84/59,318.10 = 59,318.10/x
  3. Step 3: Cross multiply
    33,368.84x = 59,318.10 × 59,318.10
  4. Step 4: Simplify right side
    33,368.84x = 3,518,637,404.69
  5. Step 5: Solve for x
    x = 3,518,637,404.69/33,368.84
  6. Step 6: Final answer
    x = 105,446.81

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.