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Finding the Third Proportional to 45,869 and 70,895

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Solution

The third proportional to 45,869 and 70,895 is: 109,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,869 : 70,895 = 70,895 : x
  2. Step 2: Convert to fraction form
    45,869/70,895 = 70,895/x
  3. Step 3: Cross multiply
    45,869x = 70,895 × 70,895
  4. Step 4: Simplify right side
    45,869x = 5,026,101,025
  5. Step 5: Solve for x
    x = 5,026,101,025/45,869
  6. Step 6: Final answer
    x = 109,575.12

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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.