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Finding the Third Proportional to 29,084.63 and 43,869.38

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Solution

The third proportional to 29,084.63 and 43,869.38 is: 66,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084.63 : 43,869.38 = 43,869.38 : x
  2. Step 2: Convert to fraction form
    29,084.63/43,869.38 = 43,869.38/x
  3. Step 3: Cross multiply
    29,084.63x = 43,869.38 × 43,869.38
  4. Step 4: Simplify right side
    29,084.63x = 1,924,522,062.89
  5. Step 5: Solve for x
    x = 1,924,522,062.89/29,084.63
  6. Step 6: Final answer
    x = 66,169.74

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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.