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Finding the Third Proportional to 23,646.94 and 40,110.19

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Solution

The third proportional to 23,646.94 and 40,110.19 is: 68,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.94 : 40,110.19 = 40,110.19 : x
  2. Step 2: Convert to fraction form
    23,646.94/40,110.19 = 40,110.19/x
  3. Step 3: Cross multiply
    23,646.94x = 40,110.19 × 40,110.19
  4. Step 4: Simplify right side
    23,646.94x = 1,608,827,141.29
  5. Step 5: Solve for x
    x = 1,608,827,141.29/23,646.94
  6. Step 6: Final answer
    x = 68,035.33

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.