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Finding the Third Proportional to 21,089.81 and 45,682.03

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Solution

The third proportional to 21,089.81 and 45,682.03 is: 98,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089.81 : 45,682.03 = 45,682.03 : x
  2. Step 2: Convert to fraction form
    21,089.81/45,682.03 = 45,682.03/x
  3. Step 3: Cross multiply
    21,089.81x = 45,682.03 × 45,682.03
  4. Step 4: Simplify right side
    21,089.81x = 2,086,847,979.13
  5. Step 5: Solve for x
    x = 2,086,847,979.13/21,089.81
  6. Step 6: Final answer
    x = 98,950.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.