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Finding the Third Proportional to 46,453.88 and 68,587.31

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Solution

The third proportional to 46,453.88 and 68,587.31 is: 101,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,453.88 : 68,587.31 = 68,587.31 : x
  2. Step 2: Convert to fraction form
    46,453.88/68,587.31 = 68,587.31/x
  3. Step 3: Cross multiply
    46,453.88x = 68,587.31 × 68,587.31
  4. Step 4: Simplify right side
    46,453.88x = 4,704,219,435.97
  5. Step 5: Solve for x
    x = 4,704,219,435.97/46,453.88
  6. Step 6: Final answer
    x = 101,266.46

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.