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Finding the Third Proportional to 4,156 and 6,484

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Solution

The third proportional to 4,156 and 6,484 is: 10,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156 : 6,484 = 6,484 : x
  2. Step 2: Convert to fraction form
    4,156/6,484 = 6,484/x
  3. Step 3: Cross multiply
    4,156x = 6,484 × 6,484
  4. Step 4: Simplify right side
    4,156x = 42,042,256
  5. Step 5: Solve for x
    x = 42,042,256/4,156
  6. Step 6: Final answer
    x = 10,116.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.