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Finding the Third Proportional to 46,326 and 71,775

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Solution

The third proportional to 46,326 and 71,775 is: 111,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,326 : 71,775 = 71,775 : x
  2. Step 2: Convert to fraction form
    46,326/71,775 = 71,775/x
  3. Step 3: Cross multiply
    46,326x = 71,775 × 71,775
  4. Step 4: Simplify right side
    46,326x = 5,151,650,625
  5. Step 5: Solve for x
    x = 5,151,650,625/46,326
  6. Step 6: Final answer
    x = 111,204.30

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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.