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Finding the Third Proportional to 29,693.46 and 64,028.60

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Solution

The third proportional to 29,693.46 and 64,028.60 is: 138,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.46 : 64,028.60 = 64,028.60 : x
  2. Step 2: Convert to fraction form
    29,693.46/64,028.60 = 64,028.60/x
  3. Step 3: Cross multiply
    29,693.46x = 64,028.60 × 64,028.60
  4. Step 4: Simplify right side
    29,693.46x = 4,099,661,818.05
  5. Step 5: Solve for x
    x = 4,099,661,818.05/29,693.46
  6. Step 6: Final answer
    x = 138,066.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.