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Finding the Third Proportional to 46,231 and 69,673.50

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Solution

The third proportional to 46,231 and 69,673.50 is: 105,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,231 : 69,673.50 = 69,673.50 : x
  2. Step 2: Convert to fraction form
    46,231/69,673.50 = 69,673.50/x
  3. Step 3: Cross multiply
    46,231x = 69,673.50 × 69,673.50
  4. Step 4: Simplify right side
    46,231x = 4,854,396,602.25
  5. Step 5: Solve for x
    x = 4,854,396,602.25/46,231
  6. Step 6: Final answer
    x = 105,003.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.