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Finding the Third Proportional to 32,774.63 and 71,722.97

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Solution

The third proportional to 32,774.63 and 71,722.97 is: 156,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.63 : 71,722.97 = 71,722.97 : x
  2. Step 2: Convert to fraction form
    32,774.63/71,722.97 = 71,722.97/x
  3. Step 3: Cross multiply
    32,774.63x = 71,722.97 × 71,722.97
  4. Step 4: Simplify right side
    32,774.63x = 5,144,184,246.31
  5. Step 5: Solve for x
    x = 5,144,184,246.31/32,774.63
  6. Step 6: Final answer
    x = 156,956.31

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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.