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Finding the Third Proportional to 3,478 and 4,953

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Solution

The third proportional to 3,478 and 4,953 is: 7,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 4,953 = 4,953 : x
  2. Step 2: Convert to fraction form
    3,478/4,953 = 4,953/x
  3. Step 3: Cross multiply
    3,478x = 4,953 × 4,953
  4. Step 4: Simplify right side
    3,478x = 24,532,209
  5. Step 5: Solve for x
    x = 24,532,209/3,478
  6. Step 6: Final answer
    x = 7,053.54

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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.