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Finding the Third Proportional to 15,408 and 22,034.50

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Solution

The third proportional to 15,408 and 22,034.50 is: 31,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 22,034.50 = 22,034.50 : x
  2. Step 2: Convert to fraction form
    15,408/22,034.50 = 22,034.50/x
  3. Step 3: Cross multiply
    15,408x = 22,034.50 × 22,034.50
  4. Step 4: Simplify right side
    15,408x = 485,519,190.25
  5. Step 5: Solve for x
    x = 485,519,190.25/15,408
  6. Step 6: Final answer
    x = 31,510.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.