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Finding the Third Proportional to 32,340.94 and 70,377.19

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Solution

The third proportional to 32,340.94 and 70,377.19 is: 153,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340.94 : 70,377.19 = 70,377.19 : x
  2. Step 2: Convert to fraction form
    32,340.94/70,377.19 = 70,377.19/x
  3. Step 3: Cross multiply
    32,340.94x = 70,377.19 × 70,377.19
  4. Step 4: Simplify right side
    32,340.94x = 4,952,948,520.41
  5. Step 5: Solve for x
    x = 4,952,948,520.41/32,340.94
  6. Step 6: Final answer
    x = 153,147.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.