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Finding the Third Proportional to 46,712.25 and 72,363.38

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Solution

The third proportional to 46,712.25 and 72,363.38 is: 112,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712.25 : 72,363.38 = 72,363.38 : x
  2. Step 2: Convert to fraction form
    46,712.25/72,363.38 = 72,363.38/x
  3. Step 3: Cross multiply
    46,712.25x = 72,363.38 × 72,363.38
  4. Step 4: Simplify right side
    46,712.25x = 5,236,458,041.39
  5. Step 5: Solve for x
    x = 5,236,458,041.39/46,712.25
  6. Step 6: Final answer
    x = 112,100.32

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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.