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Finding the Third Proportional to 20,509.88 and 32,632.88

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Solution

The third proportional to 20,509.88 and 32,632.88 is: 51,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.88 : 32,632.88 = 32,632.88 : x
  2. Step 2: Convert to fraction form
    20,509.88/32,632.88 = 32,632.88/x
  3. Step 3: Cross multiply
    20,509.88x = 32,632.88 × 32,632.88
  4. Step 4: Simplify right side
    20,509.88x = 1,064,904,530.77
  5. Step 5: Solve for x
    x = 1,064,904,530.77/20,509.88
  6. Step 6: Final answer
    x = 51,921.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.