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Finding the Third Proportional to 24,563.25 and 53,039.81

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Solution

The third proportional to 24,563.25 and 53,039.81 is: 114,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.25 : 53,039.81 = 53,039.81 : x
  2. Step 2: Convert to fraction form
    24,563.25/53,039.81 = 53,039.81/x
  3. Step 3: Cross multiply
    24,563.25x = 53,039.81 × 53,039.81
  4. Step 4: Simplify right side
    24,563.25x = 2,813,221,710.04
  5. Step 5: Solve for x
    x = 2,813,221,710.04/24,563.25
  6. Step 6: Final answer
    x = 114,529.70

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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.