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Finding the Third Proportional to 6,256 and 10,428

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Solution

The third proportional to 6,256 and 10,428 is: 17,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256 : 10,428 = 10,428 : x
  2. Step 2: Convert to fraction form
    6,256/10,428 = 10,428/x
  3. Step 3: Cross multiply
    6,256x = 10,428 × 10,428
  4. Step 4: Simplify right side
    6,256x = 108,743,184
  5. Step 5: Solve for x
    x = 108,743,184/6,256
  6. Step 6: Final answer
    x = 17,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.