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Finding the Third Proportional to 46,021.50 and 49,052.25

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Solution

The third proportional to 46,021.50 and 49,052.25 is: 52,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,021.50 : 49,052.25 = 49,052.25 : x
  2. Step 2: Convert to fraction form
    46,021.50/49,052.25 = 49,052.25/x
  3. Step 3: Cross multiply
    46,021.50x = 49,052.25 × 49,052.25
  4. Step 4: Simplify right side
    46,021.50x = 2,406,123,230.06
  5. Step 5: Solve for x
    x = 2,406,123,230.06/46,021.50
  6. Step 6: Final answer
    x = 52,282.59

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.