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Finding the Third Proportional to 5,473.13 and 8,490.94

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Solution

The third proportional to 5,473.13 and 8,490.94 is: 13,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.13 : 8,490.94 = 8,490.94 : x
  2. Step 2: Convert to fraction form
    5,473.13/8,490.94 = 8,490.94/x
  3. Step 3: Cross multiply
    5,473.13x = 8,490.94 × 8,490.94
  4. Step 4: Simplify right side
    5,473.13x = 72,096,019.63
  5. Step 5: Solve for x
    x = 72,096,019.63/5,473.13
  6. Step 6: Final answer
    x = 13,172.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.