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Finding the Third Proportional to 6,476 and 14,155.75

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Solution

The third proportional to 6,476 and 14,155.75 is: 30,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 14,155.75 = 14,155.75 : x
  2. Step 2: Convert to fraction form
    6,476/14,155.75 = 14,155.75/x
  3. Step 3: Cross multiply
    6,476x = 14,155.75 × 14,155.75
  4. Step 4: Simplify right side
    6,476x = 200,385,258.06
  5. Step 5: Solve for x
    x = 200,385,258.06/6,476
  6. Step 6: Final answer
    x = 30,942.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.