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Finding the Third Proportional to 32,941.69 and 72,443.25

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Solution

The third proportional to 32,941.69 and 72,443.25 is: 159,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.69 : 72,443.25 = 72,443.25 : x
  2. Step 2: Convert to fraction form
    32,941.69/72,443.25 = 72,443.25/x
  3. Step 3: Cross multiply
    32,941.69x = 72,443.25 × 72,443.25
  4. Step 4: Simplify right side
    32,941.69x = 5,248,024,470.56
  5. Step 5: Solve for x
    x = 5,248,024,470.56/32,941.69
  6. Step 6: Final answer
    x = 159,312.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.