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Finding the Third Proportional to 16,562.16 and 24,934.41

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Solution

The third proportional to 16,562.16 and 24,934.41 is: 37,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.16 : 24,934.41 = 24,934.41 : x
  2. Step 2: Convert to fraction form
    16,562.16/24,934.41 = 24,934.41/x
  3. Step 3: Cross multiply
    16,562.16x = 24,934.41 × 24,934.41
  4. Step 4: Simplify right side
    16,562.16x = 621,724,615.04
  5. Step 5: Solve for x
    x = 621,724,615.04/16,562.16
  6. Step 6: Final answer
    x = 37,538.87

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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.