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Finding the Third Proportional to 16,920 and 24,050

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Solution

The third proportional to 16,920 and 24,050 is: 34,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,920 : 24,050 = 24,050 : x
  2. Step 2: Convert to fraction form
    16,920/24,050 = 24,050/x
  3. Step 3: Cross multiply
    16,920x = 24,050 × 24,050
  4. Step 4: Simplify right side
    16,920x = 578,402,500
  5. Step 5: Solve for x
    x = 578,402,500/16,920
  6. Step 6: Final answer
    x = 34,184.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.