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Finding the Third Proportional to 23,978.25 and 52,328.25

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Solution

The third proportional to 23,978.25 and 52,328.25 is: 114,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.25 : 52,328.25 = 52,328.25 : x
  2. Step 2: Convert to fraction form
    23,978.25/52,328.25 = 52,328.25/x
  3. Step 3: Cross multiply
    23,978.25x = 52,328.25 × 52,328.25
  4. Step 4: Simplify right side
    23,978.25x = 2,738,245,748.06
  5. Step 5: Solve for x
    x = 2,738,245,748.06/23,978.25
  6. Step 6: Final answer
    x = 114,197.06

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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.