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Finding the Third Proportional to 32,414.63 and 69,324.75

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Solution

The third proportional to 32,414.63 and 69,324.75 is: 148,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.63 : 69,324.75 = 69,324.75 : x
  2. Step 2: Convert to fraction form
    32,414.63/69,324.75 = 69,324.75/x
  3. Step 3: Cross multiply
    32,414.63x = 69,324.75 × 69,324.75
  4. Step 4: Simplify right side
    32,414.63x = 4,805,920,962.56
  5. Step 5: Solve for x
    x = 4,805,920,962.56/32,414.63
  6. Step 6: Final answer
    x = 148,263.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.