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Finding the Third Proportional to 20,239.88 and 32,000.06

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Solution

The third proportional to 20,239.88 and 32,000.06 is: 50,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239.88 : 32,000.06 = 32,000.06 : x
  2. Step 2: Convert to fraction form
    20,239.88/32,000.06 = 32,000.06/x
  3. Step 3: Cross multiply
    20,239.88x = 32,000.06 × 32,000.06
  4. Step 4: Simplify right side
    20,239.88x = 1,024,004,000.00
  5. Step 5: Solve for x
    x = 1,024,004,000.00/20,239.88
  6. Step 6: Final answer
    x = 50,593.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.