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Finding the Third Proportional to 12,247 and 26,570

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Solution

The third proportional to 12,247 and 26,570 is: 57,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247 : 26,570 = 26,570 : x
  2. Step 2: Convert to fraction form
    12,247/26,570 = 26,570/x
  3. Step 3: Cross multiply
    12,247x = 26,570 × 26,570
  4. Step 4: Simplify right side
    12,247x = 705,964,900
  5. Step 5: Solve for x
    x = 705,964,900/12,247
  6. Step 6: Final answer
    x = 57,643.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.