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Finding the Third Proportional to 25,207 and 52,487

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Solution

The third proportional to 25,207 and 52,487 is: 109,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207 : 52,487 = 52,487 : x
  2. Step 2: Convert to fraction form
    25,207/52,487 = 52,487/x
  3. Step 3: Cross multiply
    25,207x = 52,487 × 52,487
  4. Step 4: Simplify right side
    25,207x = 2,754,885,169
  5. Step 5: Solve for x
    x = 2,754,885,169/25,207
  6. Step 6: Final answer
    x = 109,290.48

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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.