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Finding the Third Proportional to 46,422 and 72,058.50

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Solution

The third proportional to 46,422 and 72,058.50 is: 111,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,422 : 72,058.50 = 72,058.50 : x
  2. Step 2: Convert to fraction form
    46,422/72,058.50 = 72,058.50/x
  3. Step 3: Cross multiply
    46,422x = 72,058.50 × 72,058.50
  4. Step 4: Simplify right side
    46,422x = 5,192,427,422.25
  5. Step 5: Solve for x
    x = 5,192,427,422.25/46,422
  6. Step 6: Final answer
    x = 111,852.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.