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Finding the Third Proportional to 23,113 and 34,833

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Solution

The third proportional to 23,113 and 34,833 is: 52,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113 : 34,833 = 34,833 : x
  2. Step 2: Convert to fraction form
    23,113/34,833 = 34,833/x
  3. Step 3: Cross multiply
    23,113x = 34,833 × 34,833
  4. Step 4: Simplify right side
    23,113x = 1,213,337,889
  5. Step 5: Solve for x
    x = 1,213,337,889/23,113
  6. Step 6: Final answer
    x = 52,495.91

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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.