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Finding the Third Proportional to 12,465 and 27,460

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Solution

The third proportional to 12,465 and 27,460 is: 60,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 27,460 = 27,460 : x
  2. Step 2: Convert to fraction form
    12,465/27,460 = 27,460/x
  3. Step 3: Cross multiply
    12,465x = 27,460 × 27,460
  4. Step 4: Simplify right side
    12,465x = 754,051,600
  5. Step 5: Solve for x
    x = 754,051,600/12,465
  6. Step 6: Final answer
    x = 60,493.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.