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Finding the Third Proportional to 12,131.25 and 26,518.13

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Solution

The third proportional to 12,131.25 and 26,518.13 is: 57,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.25 : 26,518.13 = 26,518.13 : x
  2. Step 2: Convert to fraction form
    12,131.25/26,518.13 = 26,518.13/x
  3. Step 3: Cross multiply
    12,131.25x = 26,518.13 × 26,518.13
  4. Step 4: Simplify right side
    12,131.25x = 703,210,953.52
  5. Step 5: Solve for x
    x = 703,210,953.52/12,131.25
  6. Step 6: Final answer
    x = 57,966.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.