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Finding the Third Proportional to 34,274 and 51,409

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Solution

The third proportional to 34,274 and 51,409 is: 77,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274 : 51,409 = 51,409 : x
  2. Step 2: Convert to fraction form
    34,274/51,409 = 51,409/x
  3. Step 3: Cross multiply
    34,274x = 51,409 × 51,409
  4. Step 4: Simplify right side
    34,274x = 2,642,885,281
  5. Step 5: Solve for x
    x = 2,642,885,281/34,274
  6. Step 6: Final answer
    x = 77,110.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.