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Finding the Third Proportional to 6,117.19 and 13,035.47

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Solution

The third proportional to 6,117.19 and 13,035.47 is: 27,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.19 : 13,035.47 = 13,035.47 : x
  2. Step 2: Convert to fraction form
    6,117.19/13,035.47 = 13,035.47/x
  3. Step 3: Cross multiply
    6,117.19x = 13,035.47 × 13,035.47
  4. Step 4: Simplify right side
    6,117.19x = 169,923,445.53
  5. Step 5: Solve for x
    x = 169,923,445.53/6,117.19
  6. Step 6: Final answer
    x = 27,778.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.