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Finding the Third Proportional to 16,532.44 and 24,697.41

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Solution

The third proportional to 16,532.44 and 24,697.41 is: 36,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.44 : 24,697.41 = 24,697.41 : x
  2. Step 2: Convert to fraction form
    16,532.44/24,697.41 = 24,697.41/x
  3. Step 3: Cross multiply
    16,532.44x = 24,697.41 × 24,697.41
  4. Step 4: Simplify right side
    16,532.44x = 609,961,875.48
  5. Step 5: Solve for x
    x = 609,961,875.48/16,532.44
  6. Step 6: Final answer
    x = 36,894.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.