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Finding the Third Proportional to 12,187.13 and 25,192.69

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Solution

The third proportional to 12,187.13 and 25,192.69 is: 52,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.13 : 25,192.69 = 25,192.69 : x
  2. Step 2: Convert to fraction form
    12,187.13/25,192.69 = 25,192.69/x
  3. Step 3: Cross multiply
    12,187.13x = 25,192.69 × 25,192.69
  4. Step 4: Simplify right side
    12,187.13x = 634,671,503.47
  5. Step 5: Solve for x
    x = 634,671,503.47/12,187.13
  6. Step 6: Final answer
    x = 52,077.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.