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Finding the Third Proportional to 29,682.56 and 64,101.38

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Solution

The third proportional to 29,682.56 and 64,101.38 is: 138,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.56 : 64,101.38 = 64,101.38 : x
  2. Step 2: Convert to fraction form
    29,682.56/64,101.38 = 64,101.38/x
  3. Step 3: Cross multiply
    29,682.56x = 64,101.38 × 64,101.38
  4. Step 4: Simplify right side
    29,682.56x = 4,108,986,276.89
  5. Step 5: Solve for x
    x = 4,108,986,276.89/29,682.56
  6. Step 6: Final answer
    x = 138,430.98

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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.