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Finding the Third Proportional to 3,735.24 and 8,127.63

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Solution

The third proportional to 3,735.24 and 8,127.63 is: 17,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.24 : 8,127.63 = 8,127.63 : x
  2. Step 2: Convert to fraction form
    3,735.24/8,127.63 = 8,127.63/x
  3. Step 3: Cross multiply
    3,735.24x = 8,127.63 × 8,127.63
  4. Step 4: Simplify right side
    3,735.24x = 66,058,307.98
  5. Step 5: Solve for x
    x = 66,058,307.98/3,735.24
  6. Step 6: Final answer
    x = 17,685.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.