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Finding the Third Proportional to 3,536.63 and 7,630.13

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Solution

The third proportional to 3,536.63 and 7,630.13 is: 16,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.63 : 7,630.13 = 7,630.13 : x
  2. Step 2: Convert to fraction form
    3,536.63/7,630.13 = 7,630.13/x
  3. Step 3: Cross multiply
    3,536.63x = 7,630.13 × 7,630.13
  4. Step 4: Simplify right side
    3,536.63x = 58,218,807.52
  5. Step 5: Solve for x
    x = 58,218,807.52/3,536.63
  6. Step 6: Final answer
    x = 16,461.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.