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Finding the Third Proportional to 46,018.13 and 61,782.75

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Solution

The third proportional to 46,018.13 and 61,782.75 is: 82,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 61,782.75 = 61,782.75 : x
  2. Step 2: Convert to fraction form
    46,018.13/61,782.75 = 61,782.75/x
  3. Step 3: Cross multiply
    46,018.13x = 61,782.75 × 61,782.75
  4. Step 4: Simplify right side
    46,018.13x = 3,817,108,197.56
  5. Step 5: Solve for x
    x = 3,817,108,197.56/46,018.13
  6. Step 6: Final answer
    x = 82,947.93

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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.