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Finding the Third Proportional to 32,329.13 and 48,537.56

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Solution

The third proportional to 32,329.13 and 48,537.56 is: 72,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.13 : 48,537.56 = 48,537.56 : x
  2. Step 2: Convert to fraction form
    32,329.13/48,537.56 = 48,537.56/x
  3. Step 3: Cross multiply
    32,329.13x = 48,537.56 × 48,537.56
  4. Step 4: Simplify right side
    32,329.13x = 2,355,894,973.44
  5. Step 5: Solve for x
    x = 2,355,894,973.44/32,329.13
  6. Step 6: Final answer
    x = 72,872.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.