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Finding the Third Proportional to 25,233 and 53,080

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Solution

The third proportional to 25,233 and 53,080 is: 111,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233 : 53,080 = 53,080 : x
  2. Step 2: Convert to fraction form
    25,233/53,080 = 53,080/x
  3. Step 3: Cross multiply
    25,233x = 53,080 × 53,080
  4. Step 4: Simplify right side
    25,233x = 2,817,486,400
  5. Step 5: Solve for x
    x = 2,817,486,400/25,233
  6. Step 6: Final answer
    x = 111,658.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.