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Finding the Third Proportional to 15,408 and 23,224.50

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Solution

The third proportional to 15,408 and 23,224.50 is: 35,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 23,224.50 = 23,224.50 : x
  2. Step 2: Convert to fraction form
    15,408/23,224.50 = 23,224.50/x
  3. Step 3: Cross multiply
    15,408x = 23,224.50 × 23,224.50
  4. Step 4: Simplify right side
    15,408x = 539,377,400.25
  5. Step 5: Solve for x
    x = 539,377,400.25/15,408
  6. Step 6: Final answer
    x = 35,006.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.