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Finding the Third Proportional to 22,845 and 26,125.50

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Solution

The third proportional to 22,845 and 26,125.50 is: 29,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,845 : 26,125.50 = 26,125.50 : x
  2. Step 2: Convert to fraction form
    22,845/26,125.50 = 26,125.50/x
  3. Step 3: Cross multiply
    22,845x = 26,125.50 × 26,125.50
  4. Step 4: Simplify right side
    22,845x = 682,541,750.25
  5. Step 5: Solve for x
    x = 682,541,750.25/22,845
  6. Step 6: Final answer
    x = 29,877.07

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.