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Finding the Third Proportional to 32,886 and 46,858.50

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Solution

The third proportional to 32,886 and 46,858.50 is: 66,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 46,858.50 = 46,858.50 : x
  2. Step 2: Convert to fraction form
    32,886/46,858.50 = 46,858.50/x
  3. Step 3: Cross multiply
    32,886x = 46,858.50 × 46,858.50
  4. Step 4: Simplify right side
    32,886x = 2,195,719,022.25
  5. Step 5: Solve for x
    x = 2,195,719,022.25/32,886
  6. Step 6: Final answer
    x = 66,767.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.