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Finding the Third Proportional to 6,109.17 and 13,330.83

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Solution

The third proportional to 6,109.17 and 13,330.83 is: 29,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.17 : 13,330.83 = 13,330.83 : x
  2. Step 2: Convert to fraction form
    6,109.17/13,330.83 = 13,330.83/x
  3. Step 3: Cross multiply
    6,109.17x = 13,330.83 × 13,330.83
  4. Step 4: Simplify right side
    6,109.17x = 177,710,978.50
  5. Step 5: Solve for x
    x = 177,710,978.50/6,109.17
  6. Step 6: Final answer
    x = 29,089.21

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