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Finding the Third Proportional to 32,916.94 and 72,951.75

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Solution

The third proportional to 32,916.94 and 72,951.75 is: 161,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916.94 : 72,951.75 = 72,951.75 : x
  2. Step 2: Convert to fraction form
    32,916.94/72,951.75 = 72,951.75/x
  3. Step 3: Cross multiply
    32,916.94x = 72,951.75 × 72,951.75
  4. Step 4: Simplify right side
    32,916.94x = 5,321,957,828.06
  5. Step 5: Solve for x
    x = 5,321,957,828.06/32,916.94
  6. Step 6: Final answer
    x = 161,678.40

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.