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Finding the Third Proportional to 25,342.88 and 54,968.63

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Solution

The third proportional to 25,342.88 and 54,968.63 is: 119,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.88 : 54,968.63 = 54,968.63 : x
  2. Step 2: Convert to fraction form
    25,342.88/54,968.63 = 54,968.63/x
  3. Step 3: Cross multiply
    25,342.88x = 54,968.63 × 54,968.63
  4. Step 4: Simplify right side
    25,342.88x = 3,021,549,734.39
  5. Step 5: Solve for x
    x = 3,021,549,734.39/25,342.88
  6. Step 6: Final answer
    x = 119,226.79

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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.