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Finding the Third Proportional to 43,116.75 and 64,410.38

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Solution

The third proportional to 43,116.75 and 64,410.38 is: 96,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,116.75 : 64,410.38 = 64,410.38 : x
  2. Step 2: Convert to fraction form
    43,116.75/64,410.38 = 64,410.38/x
  3. Step 3: Cross multiply
    43,116.75x = 64,410.38 × 64,410.38
  4. Step 4: Simplify right side
    43,116.75x = 4,148,696,407.64
  5. Step 5: Solve for x
    x = 4,148,696,407.64/43,116.75
  6. Step 6: Final answer
    x = 96,220.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.