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Finding the Third Proportional to 21,098.81 and 30,835.69

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Solution

The third proportional to 21,098.81 and 30,835.69 is: 45,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.81 : 30,835.69 = 30,835.69 : x
  2. Step 2: Convert to fraction form
    21,098.81/30,835.69 = 30,835.69/x
  3. Step 3: Cross multiply
    21,098.81x = 30,835.69 × 30,835.69
  4. Step 4: Simplify right side
    21,098.81x = 950,839,623.60
  5. Step 5: Solve for x
    x = 950,839,623.60/21,098.81
  6. Step 6: Final answer
    x = 45,066.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.