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Finding the Third Proportional to 32,780.95 and 70,340.91

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Solution

The third proportional to 32,780.95 and 70,340.91 is: 150,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.95 : 70,340.91 = 70,340.91 : x
  2. Step 2: Convert to fraction form
    32,780.95/70,340.91 = 70,340.91/x
  3. Step 3: Cross multiply
    32,780.95x = 70,340.91 × 70,340.91
  4. Step 4: Simplify right side
    32,780.95x = 4,947,843,092.07
  5. Step 5: Solve for x
    x = 4,947,843,092.07/32,780.95
  6. Step 6: Final answer
    x = 150,936.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.