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Finding the Third Proportional to 3,636.19 and 7,829.06

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Solution

The third proportional to 3,636.19 and 7,829.06 is: 16,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.19 : 7,829.06 = 7,829.06 : x
  2. Step 2: Convert to fraction form
    3,636.19/7,829.06 = 7,829.06/x
  3. Step 3: Cross multiply
    3,636.19x = 7,829.06 × 7,829.06
  4. Step 4: Simplify right side
    3,636.19x = 61,294,219.63
  5. Step 5: Solve for x
    x = 61,294,219.63/3,636.19
  6. Step 6: Final answer
    x = 16,856.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.