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Finding the Third Proportional to 25,498.50 and 55,233

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Solution

The third proportional to 25,498.50 and 55,233 is: 119,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.50 : 55,233 = 55,233 : x
  2. Step 2: Convert to fraction form
    25,498.50/55,233 = 55,233/x
  3. Step 3: Cross multiply
    25,498.50x = 55,233 × 55,233
  4. Step 4: Simplify right side
    25,498.50x = 3,050,684,289
  5. Step 5: Solve for x
    x = 3,050,684,289/25,498.50
  6. Step 6: Final answer
    x = 119,641.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.