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Finding the Third Proportional to 25,963.88 and 56,732.63

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Solution

The third proportional to 25,963.88 and 56,732.63 is: 123,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.88 : 56,732.63 = 56,732.63 : x
  2. Step 2: Convert to fraction form
    25,963.88/56,732.63 = 56,732.63/x
  3. Step 3: Cross multiply
    25,963.88x = 56,732.63 × 56,732.63
  4. Step 4: Simplify right side
    25,963.88x = 3,218,590,739.39
  5. Step 5: Solve for x
    x = 3,218,590,739.39/25,963.88
  6. Step 6: Final answer
    x = 123,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.