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Finding the Third Proportional to 29,465.44 and 44,214.19

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Solution

The third proportional to 29,465.44 and 44,214.19 is: 66,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465.44 : 44,214.19 = 44,214.19 : x
  2. Step 2: Convert to fraction form
    29,465.44/44,214.19 = 44,214.19/x
  3. Step 3: Cross multiply
    29,465.44x = 44,214.19 × 44,214.19
  4. Step 4: Simplify right side
    29,465.44x = 1,954,894,376.29
  5. Step 5: Solve for x
    x = 1,954,894,376.29/29,465.44
  6. Step 6: Final answer
    x = 66,345.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.