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Finding the Third Proportional to 24,068.25 and 52,940.25

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Solution

The third proportional to 24,068.25 and 52,940.25 is: 116,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,068.25 : 52,940.25 = 52,940.25 : x
  2. Step 2: Convert to fraction form
    24,068.25/52,940.25 = 52,940.25/x
  3. Step 3: Cross multiply
    24,068.25x = 52,940.25 × 52,940.25
  4. Step 4: Simplify right side
    24,068.25x = 2,802,670,070.06
  5. Step 5: Solve for x
    x = 2,802,670,070.06/24,068.25
  6. Step 6: Final answer
    x = 116,446.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.