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Finding the Third Proportional to 25,323 and 54,539

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Solution

The third proportional to 25,323 and 54,539 is: 117,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323 : 54,539 = 54,539 : x
  2. Step 2: Convert to fraction form
    25,323/54,539 = 54,539/x
  3. Step 3: Cross multiply
    25,323x = 54,539 × 54,539
  4. Step 4: Simplify right side
    25,323x = 2,974,502,521
  5. Step 5: Solve for x
    x = 2,974,502,521/25,323
  6. Step 6: Final answer
    x = 117,462.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.