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Finding the Third Proportional to 13,129.59 and 27,466.59

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Solution

The third proportional to 13,129.59 and 27,466.59 is: 57,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.59 : 27,466.59 = 27,466.59 : x
  2. Step 2: Convert to fraction form
    13,129.59/27,466.59 = 27,466.59/x
  3. Step 3: Cross multiply
    13,129.59x = 27,466.59 × 27,466.59
  4. Step 4: Simplify right side
    13,129.59x = 754,413,772.23
  5. Step 5: Solve for x
    x = 754,413,772.23/13,129.59
  6. Step 6: Final answer
    x = 57,459.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.