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Finding the Third Proportional to 41,203.69 and 46,291.50

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Solution

The third proportional to 41,203.69 and 46,291.50 is: 52,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 46,291.50 = 46,291.50 : x
  2. Step 2: Convert to fraction form
    41,203.69/46,291.50 = 46,291.50/x
  3. Step 3: Cross multiply
    41,203.69x = 46,291.50 × 46,291.50
  4. Step 4: Simplify right side
    41,203.69x = 2,142,902,972.25
  5. Step 5: Solve for x
    x = 2,142,902,972.25/41,203.69
  6. Step 6: Final answer
    x = 52,007.55

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.