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Finding the Third Proportional to 21,000.52 and 32,508.84

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Solution

The third proportional to 21,000.52 and 32,508.84 is: 50,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.52 : 32,508.84 = 32,508.84 : x
  2. Step 2: Convert to fraction form
    21,000.52/32,508.84 = 32,508.84/x
  3. Step 3: Cross multiply
    21,000.52x = 32,508.84 × 32,508.84
  4. Step 4: Simplify right side
    21,000.52x = 1,056,824,921.96
  5. Step 5: Solve for x
    x = 1,056,824,921.96/21,000.52
  6. Step 6: Final answer
    x = 50,323.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.