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Finding the Third Proportional to 16,773 and 24,565

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Solution

The third proportional to 16,773 and 24,565 is: 35,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,773 : 24,565 = 24,565 : x
  2. Step 2: Convert to fraction form
    16,773/24,565 = 24,565/x
  3. Step 3: Cross multiply
    16,773x = 24,565 × 24,565
  4. Step 4: Simplify right side
    16,773x = 603,439,225
  5. Step 5: Solve for x
    x = 603,439,225/16,773
  6. Step 6: Final answer
    x = 35,976.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.