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Finding the Third Proportional to 46,406.75 and 70,698.38

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Solution

The third proportional to 46,406.75 and 70,698.38 is: 107,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,406.75 : 70,698.38 = 70,698.38 : x
  2. Step 2: Convert to fraction form
    46,406.75/70,698.38 = 70,698.38/x
  3. Step 3: Cross multiply
    46,406.75x = 70,698.38 × 70,698.38
  4. Step 4: Simplify right side
    46,406.75x = 4,998,260,227.64
  5. Step 5: Solve for x
    x = 4,998,260,227.64/46,406.75
  6. Step 6: Final answer
    x = 107,705.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.