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Finding the Third Proportional to 34,194 and 51,516

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Solution

The third proportional to 34,194 and 51,516 is: 77,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194 : 51,516 = 51,516 : x
  2. Step 2: Convert to fraction form
    34,194/51,516 = 51,516/x
  3. Step 3: Cross multiply
    34,194x = 51,516 × 51,516
  4. Step 4: Simplify right side
    34,194x = 2,653,898,256
  5. Step 5: Solve for x
    x = 2,653,898,256/34,194
  6. Step 6: Final answer
    x = 77,612.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.