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Finding the Third Proportional to 12,294 and 26,341

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Solution

The third proportional to 12,294 and 26,341 is: 56,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 26,341 = 26,341 : x
  2. Step 2: Convert to fraction form
    12,294/26,341 = 26,341/x
  3. Step 3: Cross multiply
    12,294x = 26,341 × 26,341
  4. Step 4: Simplify right side
    12,294x = 693,848,281
  5. Step 5: Solve for x
    x = 693,848,281/12,294
  6. Step 6: Final answer
    x = 56,437.96

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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.