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Finding the Third Proportional to 12,319 and 26,486

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Solution

The third proportional to 12,319 and 26,486 is: 56,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319 : 26,486 = 26,486 : x
  2. Step 2: Convert to fraction form
    12,319/26,486 = 26,486/x
  3. Step 3: Cross multiply
    12,319x = 26,486 × 26,486
  4. Step 4: Simplify right side
    12,319x = 701,508,196
  5. Step 5: Solve for x
    x = 701,508,196/12,319
  6. Step 6: Final answer
    x = 56,945.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.