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Finding the Third Proportional to 12,430.97 and 25,579.55

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Solution

The third proportional to 12,430.97 and 25,579.55 is: 52,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.97 : 25,579.55 = 25,579.55 : x
  2. Step 2: Convert to fraction form
    12,430.97/25,579.55 = 25,579.55/x
  3. Step 3: Cross multiply
    12,430.97x = 25,579.55 × 25,579.55
  4. Step 4: Simplify right side
    12,430.97x = 654,313,218.33
  5. Step 5: Solve for x
    x = 654,313,218.33/12,430.97
  6. Step 6: Final answer
    x = 52,635.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.