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Finding the Third Proportional to 6,032.25 and 13,291.25

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Solution

The third proportional to 6,032.25 and 13,291.25 is: 29,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.25 : 13,291.25 = 13,291.25 : x
  2. Step 2: Convert to fraction form
    6,032.25/13,291.25 = 13,291.25/x
  3. Step 3: Cross multiply
    6,032.25x = 13,291.25 × 13,291.25
  4. Step 4: Simplify right side
    6,032.25x = 176,657,326.56
  5. Step 5: Solve for x
    x = 176,657,326.56/6,032.25
  6. Step 6: Final answer
    x = 29,285.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.