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Finding the Third Proportional to 25,904.50 and 56,493

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Solution

The third proportional to 25,904.50 and 56,493 is: 123,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.50 : 56,493 = 56,493 : x
  2. Step 2: Convert to fraction form
    25,904.50/56,493 = 56,493/x
  3. Step 3: Cross multiply
    25,904.50x = 56,493 × 56,493
  4. Step 4: Simplify right side
    25,904.50x = 3,191,459,049
  5. Step 5: Solve for x
    x = 3,191,459,049/25,904.50
  6. Step 6: Final answer
    x = 123,200.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.