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Finding the Third Proportional to 3,656.39 and 8,030.39

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Solution

The third proportional to 3,656.39 and 8,030.39 is: 17,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.39 : 8,030.39 = 8,030.39 : x
  2. Step 2: Convert to fraction form
    3,656.39/8,030.39 = 8,030.39/x
  3. Step 3: Cross multiply
    3,656.39x = 8,030.39 × 8,030.39
  4. Step 4: Simplify right side
    3,656.39x = 64,487,173.59
  5. Step 5: Solve for x
    x = 64,487,173.59/3,656.39
  6. Step 6: Final answer
    x = 17,636.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.