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Finding the Third Proportional to 2,862.84 and 6,929.30

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Solution

The third proportional to 2,862.84 and 6,929.30 is: 16,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.84 : 6,929.30 = 6,929.30 : x
  2. Step 2: Convert to fraction form
    2,862.84/6,929.30 = 6,929.30/x
  3. Step 3: Cross multiply
    2,862.84x = 6,929.30 × 6,929.30
  4. Step 4: Simplify right side
    2,862.84x = 48,015,155.18
  5. Step 5: Solve for x
    x = 48,015,155.18/2,862.84
  6. Step 6: Final answer
    x = 16,771.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.