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Finding the Third Proportional to 12,126.38 and 25,720.88

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Solution

The third proportional to 12,126.38 and 25,720.88 is: 54,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.38 : 25,720.88 = 25,720.88 : x
  2. Step 2: Convert to fraction form
    12,126.38/25,720.88 = 25,720.88/x
  3. Step 3: Cross multiply
    12,126.38x = 25,720.88 × 25,720.88
  4. Step 4: Simplify right side
    12,126.38x = 661,563,410.77
  5. Step 5: Solve for x
    x = 661,563,410.77/12,126.38
  6. Step 6: Final answer
    x = 54,555.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.