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Finding the Third Proportional to 6,476.75 and 10,001.44

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Solution

The third proportional to 6,476.75 and 10,001.44 is: 15,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.75 : 10,001.44 = 10,001.44 : x
  2. Step 2: Convert to fraction form
    6,476.75/10,001.44 = 10,001.44/x
  3. Step 3: Cross multiply
    6,476.75x = 10,001.44 × 10,001.44
  4. Step 4: Simplify right side
    6,476.75x = 100,028,752.07
  5. Step 5: Solve for x
    x = 100,028,752.07/6,476.75
  6. Step 6: Final answer
    x = 15,444.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.