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Finding the Third Proportional to 25,264 and 53,065

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Solution

The third proportional to 25,264 and 53,065 is: 111,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264 : 53,065 = 53,065 : x
  2. Step 2: Convert to fraction form
    25,264/53,065 = 53,065/x
  3. Step 3: Cross multiply
    25,264x = 53,065 × 53,065
  4. Step 4: Simplify right side
    25,264x = 2,815,894,225
  5. Step 5: Solve for x
    x = 2,815,894,225/25,264
  6. Step 6: Final answer
    x = 111,458.76

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Why These Related Problems?

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