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Finding the Third Proportional to 12,141.56 and 26,321.06

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Solution

The third proportional to 12,141.56 and 26,321.06 is: 57,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.56 : 26,321.06 = 26,321.06 : x
  2. Step 2: Convert to fraction form
    12,141.56/26,321.06 = 26,321.06/x
  3. Step 3: Cross multiply
    12,141.56x = 26,321.06 × 26,321.06
  4. Step 4: Simplify right side
    12,141.56x = 692,798,331.13
  5. Step 5: Solve for x
    x = 692,798,331.13/12,141.56
  6. Step 6: Final answer
    x = 57,060.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.