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Finding the Third Proportional to 5,056.17 and 7,794.98

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Solution

The third proportional to 5,056.17 and 7,794.98 is: 12,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.17 : 7,794.98 = 7,794.98 : x
  2. Step 2: Convert to fraction form
    5,056.17/7,794.98 = 7,794.98/x
  3. Step 3: Cross multiply
    5,056.17x = 7,794.98 × 7,794.98
  4. Step 4: Simplify right side
    5,056.17x = 60,761,781.41
  5. Step 5: Solve for x
    x = 60,761,781.41/5,056.17
  6. Step 6: Final answer
    x = 12,017.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.