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Finding the Third Proportional to 16,802.75 and 24,820

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Solution

The third proportional to 16,802.75 and 24,820 is: 36,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.75 : 24,820 = 24,820 : x
  2. Step 2: Convert to fraction form
    16,802.75/24,820 = 24,820/x
  3. Step 3: Cross multiply
    16,802.75x = 24,820 × 24,820
  4. Step 4: Simplify right side
    16,802.75x = 616,032,400
  5. Step 5: Solve for x
    x = 616,032,400/16,802.75
  6. Step 6: Final answer
    x = 36,662.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.