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Finding the Third Proportional to 29,881.88 and 65,021.01

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Solution

The third proportional to 29,881.88 and 65,021.01 is: 141,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.88 : 65,021.01 = 65,021.01 : x
  2. Step 2: Convert to fraction form
    29,881.88/65,021.01 = 65,021.01/x
  3. Step 3: Cross multiply
    29,881.88x = 65,021.01 × 65,021.01
  4. Step 4: Simplify right side
    29,881.88x = 4,227,731,710.94
  5. Step 5: Solve for x
    x = 4,227,731,710.94/29,881.88
  6. Step 6: Final answer
    x = 141,481.45

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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.