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Finding the Third Proportional to 29,914.31 and 46,313.44

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Solution

The third proportional to 29,914.31 and 46,313.44 is: 71,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,914.31 : 46,313.44 = 46,313.44 : x
  2. Step 2: Convert to fraction form
    29,914.31/46,313.44 = 46,313.44/x
  3. Step 3: Cross multiply
    29,914.31x = 46,313.44 × 46,313.44
  4. Step 4: Simplify right side
    29,914.31x = 2,144,934,493.07
  5. Step 5: Solve for x
    x = 2,144,934,493.07/29,914.31
  6. Step 6: Final answer
    x = 71,702.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.