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Finding the Third Proportional to 32,860.69 and 70,404.19

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Solution

The third proportional to 32,860.69 and 70,404.19 is: 150,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860.69 : 70,404.19 = 70,404.19 : x
  2. Step 2: Convert to fraction form
    32,860.69/70,404.19 = 70,404.19/x
  3. Step 3: Cross multiply
    32,860.69x = 70,404.19 × 70,404.19
  4. Step 4: Simplify right side
    32,860.69x = 4,956,749,617.54
  5. Step 5: Solve for x
    x = 4,956,749,617.54/32,860.69
  6. Step 6: Final answer
    x = 150,841.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.