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Finding the Third Proportional to 24,552.49 and 53,602.86

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Solution

The third proportional to 24,552.49 and 53,602.86 is: 117,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,552.49 : 53,602.86 = 53,602.86 : x
  2. Step 2: Convert to fraction form
    24,552.49/53,602.86 = 53,602.86/x
  3. Step 3: Cross multiply
    24,552.49x = 53,602.86 × 53,602.86
  4. Step 4: Simplify right side
    24,552.49x = 2,873,266,323.79
  5. Step 5: Solve for x
    x = 2,873,266,323.79/24,552.49
  6. Step 6: Final answer
    x = 117,025.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.