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Finding the Third Proportional to 25,356 and 52,328

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Solution

The third proportional to 25,356 and 52,328 is: 107,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,356 : 52,328 = 52,328 : x
  2. Step 2: Convert to fraction form
    25,356/52,328 = 52,328/x
  3. Step 3: Cross multiply
    25,356x = 52,328 × 52,328
  4. Step 4: Simplify right side
    25,356x = 2,738,219,584
  5. Step 5: Solve for x
    x = 2,738,219,584/25,356
  6. Step 6: Final answer
    x = 107,990.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.