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Finding the Third Proportional to 20,997 and 32,053.50

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Solution

The third proportional to 20,997 and 32,053.50 is: 48,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997 : 32,053.50 = 32,053.50 : x
  2. Step 2: Convert to fraction form
    20,997/32,053.50 = 32,053.50/x
  3. Step 3: Cross multiply
    20,997x = 32,053.50 × 32,053.50
  4. Step 4: Simplify right side
    20,997x = 1,027,426,862.25
  5. Step 5: Solve for x
    x = 1,027,426,862.25/20,997
  6. Step 6: Final answer
    x = 48,932.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.