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Finding the Third Proportional to 25,208 and 52,490

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Solution

The third proportional to 25,208 and 52,490 is: 109,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208 : 52,490 = 52,490 : x
  2. Step 2: Convert to fraction form
    25,208/52,490 = 52,490/x
  3. Step 3: Cross multiply
    25,208x = 52,490 × 52,490
  4. Step 4: Simplify right side
    25,208x = 2,755,200,100
  5. Step 5: Solve for x
    x = 2,755,200,100/25,208
  6. Step 6: Final answer
    x = 109,298.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.