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Finding the Third Proportional to 5,941.13 and 9,114.19

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Solution

The third proportional to 5,941.13 and 9,114.19 is: 13,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.13 : 9,114.19 = 9,114.19 : x
  2. Step 2: Convert to fraction form
    5,941.13/9,114.19 = 9,114.19/x
  3. Step 3: Cross multiply
    5,941.13x = 9,114.19 × 9,114.19
  4. Step 4: Simplify right side
    5,941.13x = 83,068,413.79
  5. Step 5: Solve for x
    x = 83,068,413.79/5,941.13
  6. Step 6: Final answer
    x = 13,981.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.