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Finding the Third Proportional to 32,262.05 and 70,756.66

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Solution

The third proportional to 32,262.05 and 70,756.66 is: 155,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262.05 : 70,756.66 = 70,756.66 : x
  2. Step 2: Convert to fraction form
    32,262.05/70,756.66 = 70,756.66/x
  3. Step 3: Cross multiply
    32,262.05x = 70,756.66 × 70,756.66
  4. Step 4: Simplify right side
    32,262.05x = 5,006,505,509.25
  5. Step 5: Solve for x
    x = 5,006,505,509.25/32,262.05
  6. Step 6: Final answer
    x = 155,182.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.