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Finding the Third Proportional to 46,019.50 and 93,974

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Solution

The third proportional to 46,019.50 and 93,974 is: 191,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,019.50 : 93,974 = 93,974 : x
  2. Step 2: Convert to fraction form
    46,019.50/93,974 = 93,974/x
  3. Step 3: Cross multiply
    46,019.50x = 93,974 × 93,974
  4. Step 4: Simplify right side
    46,019.50x = 8,831,112,676
  5. Step 5: Solve for x
    x = 8,831,112,676/46,019.50
  6. Step 6: Final answer
    x = 191,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.