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Finding the Third Proportional to 21,376.69 and 32,905.69

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Solution

The third proportional to 21,376.69 and 32,905.69 is: 50,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.69 : 32,905.69 = 32,905.69 : x
  2. Step 2: Convert to fraction form
    21,376.69/32,905.69 = 32,905.69/x
  3. Step 3: Cross multiply
    21,376.69x = 32,905.69 × 32,905.69
  4. Step 4: Simplify right side
    21,376.69x = 1,082,784,269.85
  5. Step 5: Solve for x
    x = 1,082,784,269.85/21,376.69
  6. Step 6: Final answer
    x = 50,652.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.