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Finding the Third Proportional to 12,607 and 27,598

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Solution

The third proportional to 12,607 and 27,598 is: 60,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607 : 27,598 = 27,598 : x
  2. Step 2: Convert to fraction form
    12,607/27,598 = 27,598/x
  3. Step 3: Cross multiply
    12,607x = 27,598 × 27,598
  4. Step 4: Simplify right side
    12,607x = 761,649,604
  5. Step 5: Solve for x
    x = 761,649,604/12,607
  6. Step 6: Final answer
    x = 60,414.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.