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Finding the Third Proportional to 3,708.63 and 8,047.25

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Solution

The third proportional to 3,708.63 and 8,047.25 is: 17,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.63 : 8,047.25 = 8,047.25 : x
  2. Step 2: Convert to fraction form
    3,708.63/8,047.25 = 8,047.25/x
  3. Step 3: Cross multiply
    3,708.63x = 8,047.25 × 8,047.25
  4. Step 4: Simplify right side
    3,708.63x = 64,758,232.56
  5. Step 5: Solve for x
    x = 64,758,232.56/3,708.63
  6. Step 6: Final answer
    x = 17,461.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.