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Finding the Third Proportional to 23,052 and 25,260

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Solution

The third proportional to 23,052 and 25,260 is: 27,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052 : 25,260 = 25,260 : x
  2. Step 2: Convert to fraction form
    23,052/25,260 = 25,260/x
  3. Step 3: Cross multiply
    23,052x = 25,260 × 25,260
  4. Step 4: Simplify right side
    23,052x = 638,067,600
  5. Step 5: Solve for x
    x = 638,067,600/23,052
  6. Step 6: Final answer
    x = 27,679.49

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.