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Finding the Third Proportional to 13,238.72 and 29,101.22

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Solution

The third proportional to 13,238.72 and 29,101.22 is: 63,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.72 : 29,101.22 = 29,101.22 : x
  2. Step 2: Convert to fraction form
    13,238.72/29,101.22 = 29,101.22/x
  3. Step 3: Cross multiply
    13,238.72x = 29,101.22 × 29,101.22
  4. Step 4: Simplify right side
    13,238.72x = 846,880,932.74
  5. Step 5: Solve for x
    x = 846,880,932.74/13,238.72
  6. Step 6: Final answer
    x = 63,970.01

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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.