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Finding the Third Proportional to 12,670 and 19,491

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Solution

The third proportional to 12,670 and 19,491 is: 29,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670 : 19,491 = 19,491 : x
  2. Step 2: Convert to fraction form
    12,670/19,491 = 19,491/x
  3. Step 3: Cross multiply
    12,670x = 19,491 × 19,491
  4. Step 4: Simplify right side
    12,670x = 379,899,081
  5. Step 5: Solve for x
    x = 379,899,081/12,670
  6. Step 6: Final answer
    x = 29,984.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.