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Finding the Third Proportional to 12,997.13 and 20,658.38

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Solution

The third proportional to 12,997.13 and 20,658.38 is: 32,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.13 : 20,658.38 = 20,658.38 : x
  2. Step 2: Convert to fraction form
    12,997.13/20,658.38 = 20,658.38/x
  3. Step 3: Cross multiply
    12,997.13x = 20,658.38 × 20,658.38
  4. Step 4: Simplify right side
    12,997.13x = 426,768,457.64
  5. Step 5: Solve for x
    x = 426,768,457.64/12,997.13
  6. Step 6: Final answer
    x = 32,835.60

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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.