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Finding the Third Proportional to 30,311 and 64,833

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Solution

The third proportional to 30,311 and 64,833 is: 138,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311 : 64,833 = 64,833 : x
  2. Step 2: Convert to fraction form
    30,311/64,833 = 64,833/x
  3. Step 3: Cross multiply
    30,311x = 64,833 × 64,833
  4. Step 4: Simplify right side
    30,311x = 4,203,317,889
  5. Step 5: Solve for x
    x = 4,203,317,889/30,311
  6. Step 6: Final answer
    x = 138,673.02

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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.