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Finding the Third Proportional to 24,258.23 and 36,824.94

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Solution

The third proportional to 24,258.23 and 36,824.94 is: 55,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,258.23 : 36,824.94 = 36,824.94 : x
  2. Step 2: Convert to fraction form
    24,258.23/36,824.94 = 36,824.94/x
  3. Step 3: Cross multiply
    24,258.23x = 36,824.94 × 36,824.94
  4. Step 4: Simplify right side
    24,258.23x = 1,356,076,309.57
  5. Step 5: Solve for x
    x = 1,356,076,309.57/24,258.23
  6. Step 6: Final answer
    x = 55,901.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.