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Finding the Third Proportional to 29,786.48 and 64,998.70

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Solution

The third proportional to 29,786.48 and 64,998.70 is: 141,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.48 : 64,998.70 = 64,998.70 : x
  2. Step 2: Convert to fraction form
    29,786.48/64,998.70 = 64,998.70/x
  3. Step 3: Cross multiply
    29,786.48x = 64,998.70 × 64,998.70
  4. Step 4: Simplify right side
    29,786.48x = 4,224,831,407.93
  5. Step 5: Solve for x
    x = 4,224,831,407.93/29,786.48
  6. Step 6: Final answer
    x = 141,837.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.