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Finding the Third Proportional to 46,467 and 61,060.50

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Solution

The third proportional to 46,467 and 61,060.50 is: 80,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467 : 61,060.50 = 61,060.50 : x
  2. Step 2: Convert to fraction form
    46,467/61,060.50 = 61,060.50/x
  3. Step 3: Cross multiply
    46,467x = 61,060.50 × 61,060.50
  4. Step 4: Simplify right side
    46,467x = 3,728,384,660.25
  5. Step 5: Solve for x
    x = 3,728,384,660.25/46,467
  6. Step 6: Final answer
    x = 80,237.26

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.