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Finding the Third Proportional to 12,305 and 26,402

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Solution

The third proportional to 12,305 and 26,402 is: 56,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305 : 26,402 = 26,402 : x
  2. Step 2: Convert to fraction form
    12,305/26,402 = 26,402/x
  3. Step 3: Cross multiply
    12,305x = 26,402 × 26,402
  4. Step 4: Simplify right side
    12,305x = 697,065,604
  5. Step 5: Solve for x
    x = 697,065,604/12,305
  6. Step 6: Final answer
    x = 56,648.97

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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.