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Finding the Third Proportional to 12,552.75 and 27,293.06

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Solution

The third proportional to 12,552.75 and 27,293.06 is: 59,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,552.75 : 27,293.06 = 27,293.06 : x
  2. Step 2: Convert to fraction form
    12,552.75/27,293.06 = 27,293.06/x
  3. Step 3: Cross multiply
    12,552.75x = 27,293.06 × 27,293.06
  4. Step 4: Simplify right side
    12,552.75x = 744,911,260.63
  5. Step 5: Solve for x
    x = 744,911,260.63/12,552.75
  6. Step 6: Final answer
    x = 59,342.48

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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.