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Finding the Third Proportional to 12,315 and 25,355

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Solution

The third proportional to 12,315 and 25,355 is: 52,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315 : 25,355 = 25,355 : x
  2. Step 2: Convert to fraction form
    12,315/25,355 = 25,355/x
  3. Step 3: Cross multiply
    12,315x = 25,355 × 25,355
  4. Step 4: Simplify right side
    12,315x = 642,876,025
  5. Step 5: Solve for x
    x = 642,876,025/12,315
  6. Step 6: Final answer
    x = 52,202.68

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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.