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Finding the Third Proportional to 46,257.75 and 61,496.63

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Solution

The third proportional to 46,257.75 and 61,496.63 is: 81,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,257.75 : 61,496.63 = 61,496.63 : x
  2. Step 2: Convert to fraction form
    46,257.75/61,496.63 = 61,496.63/x
  3. Step 3: Cross multiply
    46,257.75x = 61,496.63 × 61,496.63
  4. Step 4: Simplify right side
    46,257.75x = 3,781,834,886.39
  5. Step 5: Solve for x
    x = 3,781,834,886.39/46,257.75
  6. Step 6: Final answer
    x = 81,755.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.