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Finding the Third Proportional to 12,380 and 26,488

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Solution

The third proportional to 12,380 and 26,488 is: 56,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380 : 26,488 = 26,488 : x
  2. Step 2: Convert to fraction form
    12,380/26,488 = 26,488/x
  3. Step 3: Cross multiply
    12,380x = 26,488 × 26,488
  4. Step 4: Simplify right side
    12,380x = 701,614,144
  5. Step 5: Solve for x
    x = 701,614,144/12,380
  6. Step 6: Final answer
    x = 56,673.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.