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Finding the Third Proportional to 46,077.75 and 61,918.75

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Solution

The third proportional to 46,077.75 and 61,918.75 is: 83,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077.75 : 61,918.75 = 61,918.75 : x
  2. Step 2: Convert to fraction form
    46,077.75/61,918.75 = 61,918.75/x
  3. Step 3: Cross multiply
    46,077.75x = 61,918.75 × 61,918.75
  4. Step 4: Simplify right side
    46,077.75x = 3,833,931,601.56
  5. Step 5: Solve for x
    x = 3,833,931,601.56/46,077.75
  6. Step 6: Final answer
    x = 83,205.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.