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Finding the Third Proportional to 13,312.13 and 22,187.25

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Solution

The third proportional to 13,312.13 and 22,187.25 is: 36,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.13 : 22,187.25 = 22,187.25 : x
  2. Step 2: Convert to fraction form
    13,312.13/22,187.25 = 22,187.25/x
  3. Step 3: Cross multiply
    13,312.13x = 22,187.25 × 22,187.25
  4. Step 4: Simplify right side
    13,312.13x = 492,274,062.56
  5. Step 5: Solve for x
    x = 492,274,062.56/13,312.13
  6. Step 6: Final answer
    x = 36,979.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.