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Finding the Third Proportional to 4,172.63 and 6,498.28

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Solution

The third proportional to 4,172.63 and 6,498.28 is: 10,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.63 : 6,498.28 = 6,498.28 : x
  2. Step 2: Convert to fraction form
    4,172.63/6,498.28 = 6,498.28/x
  3. Step 3: Cross multiply
    4,172.63x = 6,498.28 × 6,498.28
  4. Step 4: Simplify right side
    4,172.63x = 42,227,659.20
  5. Step 5: Solve for x
    x = 42,227,659.20/4,172.63
  6. Step 6: Final answer
    x = 10,120.17

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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.