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Finding the Third Proportional to 12,440 and 18,646

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Solution

The third proportional to 12,440 and 18,646 is: 27,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440 : 18,646 = 18,646 : x
  2. Step 2: Convert to fraction form
    12,440/18,646 = 18,646/x
  3. Step 3: Cross multiply
    12,440x = 18,646 × 18,646
  4. Step 4: Simplify right side
    12,440x = 347,673,316
  5. Step 5: Solve for x
    x = 347,673,316/12,440
  6. Step 6: Final answer
    x = 27,948.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.