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Finding the Third Proportional to 46,289.25 and 71,358.75

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Solution

The third proportional to 46,289.25 and 71,358.75 is: 110,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289.25 : 71,358.75 = 71,358.75 : x
  2. Step 2: Convert to fraction form
    46,289.25/71,358.75 = 71,358.75/x
  3. Step 3: Cross multiply
    46,289.25x = 71,358.75 × 71,358.75
  4. Step 4: Simplify right side
    46,289.25x = 5,092,071,201.56
  5. Step 5: Solve for x
    x = 5,092,071,201.56/46,289.25
  6. Step 6: Final answer
    x = 110,005.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.