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Finding the Third Proportional to 25,911 and 56,502

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Solution

The third proportional to 25,911 and 56,502 is: 123,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911 : 56,502 = 56,502 : x
  2. Step 2: Convert to fraction form
    25,911/56,502 = 56,502/x
  3. Step 3: Cross multiply
    25,911x = 56,502 × 56,502
  4. Step 4: Simplify right side
    25,911x = 3,192,476,004
  5. Step 5: Solve for x
    x = 3,192,476,004/25,911
  6. Step 6: Final answer
    x = 123,209.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.