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Finding the Third Proportional to 24,945.47 and 53,889.05

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Solution

The third proportional to 24,945.47 and 53,889.05 is: 116,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945.47 : 53,889.05 = 53,889.05 : x
  2. Step 2: Convert to fraction form
    24,945.47/53,889.05 = 53,889.05/x
  3. Step 3: Cross multiply
    24,945.47x = 53,889.05 × 53,889.05
  4. Step 4: Simplify right side
    24,945.47x = 2,904,029,373.10
  5. Step 5: Solve for x
    x = 2,904,029,373.10/24,945.47
  6. Step 6: Final answer
    x = 116,415.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.