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Finding the Third Proportional to 6,738.19 and 15,860.81

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Solution

The third proportional to 6,738.19 and 15,860.81 is: 37,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.19 : 15,860.81 = 15,860.81 : x
  2. Step 2: Convert to fraction form
    6,738.19/15,860.81 = 15,860.81/x
  3. Step 3: Cross multiply
    6,738.19x = 15,860.81 × 15,860.81
  4. Step 4: Simplify right side
    6,738.19x = 251,565,373.16
  5. Step 5: Solve for x
    x = 251,565,373.16/6,738.19
  6. Step 6: Final answer
    x = 37,334.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.