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Finding the Third Proportional to 12,089.75 and 25,273

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Solution

The third proportional to 12,089.75 and 25,273 is: 52,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.75 : 25,273 = 25,273 : x
  2. Step 2: Convert to fraction form
    12,089.75/25,273 = 25,273/x
  3. Step 3: Cross multiply
    12,089.75x = 25,273 × 25,273
  4. Step 4: Simplify right side
    12,089.75x = 638,724,529
  5. Step 5: Solve for x
    x = 638,724,529/12,089.75
  6. Step 6: Final answer
    x = 52,831.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.