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Finding the Third Proportional to 32,942.75 and 72,445.75

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Solution

The third proportional to 32,942.75 and 72,445.75 is: 159,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.75 : 72,445.75 = 72,445.75 : x
  2. Step 2: Convert to fraction form
    32,942.75/72,445.75 = 72,445.75/x
  3. Step 3: Cross multiply
    32,942.75x = 72,445.75 × 72,445.75
  4. Step 4: Simplify right side
    32,942.75x = 5,248,386,693.06
  5. Step 5: Solve for x
    x = 5,248,386,693.06/32,942.75
  6. Step 6: Final answer
    x = 159,318.41

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Why These Related Problems?

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