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Finding the Third Proportional to 29,194 and 43,363

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Solution

The third proportional to 29,194 and 43,363 is: 64,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194 : 43,363 = 43,363 : x
  2. Step 2: Convert to fraction form
    29,194/43,363 = 43,363/x
  3. Step 3: Cross multiply
    29,194x = 43,363 × 43,363
  4. Step 4: Simplify right side
    29,194x = 1,880,349,769
  5. Step 5: Solve for x
    x = 1,880,349,769/29,194
  6. Step 6: Final answer
    x = 64,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.