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Finding the Third Proportional to 34,276 and 54,318

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Solution

The third proportional to 34,276 and 54,318 is: 86,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,276 : 54,318 = 54,318 : x
  2. Step 2: Convert to fraction form
    34,276/54,318 = 54,318/x
  3. Step 3: Cross multiply
    34,276x = 54,318 × 54,318
  4. Step 4: Simplify right side
    34,276x = 2,950,445,124
  5. Step 5: Solve for x
    x = 2,950,445,124/34,276
  6. Step 6: Final answer
    x = 86,079.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.