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Finding the Third Proportional to 12,294 and 26,343

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Solution

The third proportional to 12,294 and 26,343 is: 56,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 26,343 = 26,343 : x
  2. Step 2: Convert to fraction form
    12,294/26,343 = 26,343/x
  3. Step 3: Cross multiply
    12,294x = 26,343 × 26,343
  4. Step 4: Simplify right side
    12,294x = 693,953,649
  5. Step 5: Solve for x
    x = 693,953,649/12,294
  6. Step 6: Final answer
    x = 56,446.53

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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.