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Finding the Third Proportional to 6,801.19 and 7,904.81

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Solution

The third proportional to 6,801.19 and 7,904.81 is: 9,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.19 : 7,904.81 = 7,904.81 : x
  2. Step 2: Convert to fraction form
    6,801.19/7,904.81 = 7,904.81/x
  3. Step 3: Cross multiply
    6,801.19x = 7,904.81 × 7,904.81
  4. Step 4: Simplify right side
    6,801.19x = 62,486,060.66
  5. Step 5: Solve for x
    x = 62,486,060.66/6,801.19
  6. Step 6: Final answer
    x = 9,187.52

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.