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Finding the Third Proportional to 24,029.16 and 52,736.06

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Solution

The third proportional to 24,029.16 and 52,736.06 is: 115,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029.16 : 52,736.06 = 52,736.06 : x
  2. Step 2: Convert to fraction form
    24,029.16/52,736.06 = 52,736.06/x
  3. Step 3: Cross multiply
    24,029.16x = 52,736.06 × 52,736.06
  4. Step 4: Simplify right side
    24,029.16x = 2,781,092,288.00
  5. Step 5: Solve for x
    x = 2,781,092,288.00/24,029.16
  6. Step 6: Final answer
    x = 115,738.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.