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Finding the Third Proportional to 6,032.25 and 13,066.88

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Solution

The third proportional to 6,032.25 and 13,066.88 is: 28,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.25 : 13,066.88 = 13,066.88 : x
  2. Step 2: Convert to fraction form
    6,032.25/13,066.88 = 13,066.88/x
  3. Step 3: Cross multiply
    6,032.25x = 13,066.88 × 13,066.88
  4. Step 4: Simplify right side
    6,032.25x = 170,743,222.27
  5. Step 5: Solve for x
    x = 170,743,222.27/6,032.25
  6. Step 6: Final answer
    x = 28,305.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.