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Finding the Third Proportional to 12,860.02 and 20,041.80

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Solution

The third proportional to 12,860.02 and 20,041.80 is: 31,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.02 : 20,041.80 = 20,041.80 : x
  2. Step 2: Convert to fraction form
    12,860.02/20,041.80 = 20,041.80/x
  3. Step 3: Cross multiply
    12,860.02x = 20,041.80 × 20,041.80
  4. Step 4: Simplify right side
    12,860.02x = 401,673,935.13
  5. Step 5: Solve for x
    x = 401,673,935.13/12,860.02
  6. Step 6: Final answer
    x = 31,234.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.