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Finding the Third Proportional to 25,785.88 and 54,676.07

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Solution

The third proportional to 25,785.88 and 54,676.07 is: 115,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.88 : 54,676.07 = 54,676.07 : x
  2. Step 2: Convert to fraction form
    25,785.88/54,676.07 = 54,676.07/x
  3. Step 3: Cross multiply
    25,785.88x = 54,676.07 × 54,676.07
  4. Step 4: Simplify right side
    25,785.88x = 2,989,472,397.84
  5. Step 5: Solve for x
    x = 2,989,472,397.84/25,785.88
  6. Step 6: Final answer
    x = 115,934.46

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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.