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Finding the Third Proportional to 25,289 and 54,748

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Solution

The third proportional to 25,289 and 54,748 is: 118,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289 : 54,748 = 54,748 : x
  2. Step 2: Convert to fraction form
    25,289/54,748 = 54,748/x
  3. Step 3: Cross multiply
    25,289x = 54,748 × 54,748
  4. Step 4: Simplify right side
    25,289x = 2,997,343,504
  5. Step 5: Solve for x
    x = 2,997,343,504/25,289
  6. Step 6: Final answer
    x = 118,523.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.