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Finding the Third Proportional to 8,108.53 and 17,429.63

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Solution

The third proportional to 8,108.53 and 17,429.63 is: 37,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.53 : 17,429.63 = 17,429.63 : x
  2. Step 2: Convert to fraction form
    8,108.53/17,429.63 = 17,429.63/x
  3. Step 3: Cross multiply
    8,108.53x = 17,429.63 × 17,429.63
  4. Step 4: Simplify right side
    8,108.53x = 303,791,827.64
  5. Step 5: Solve for x
    x = 303,791,827.64/8,108.53
  6. Step 6: Final answer
    x = 37,465.70

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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.