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Finding the Third Proportional to 21,169.06 and 31,168.75

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Solution

The third proportional to 21,169.06 and 31,168.75 is: 45,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.06 : 31,168.75 = 31,168.75 : x
  2. Step 2: Convert to fraction form
    21,169.06/31,168.75 = 31,168.75/x
  3. Step 3: Cross multiply
    21,169.06x = 31,168.75 × 31,168.75
  4. Step 4: Simplify right side
    21,169.06x = 971,490,976.56
  5. Step 5: Solve for x
    x = 971,490,976.56/21,169.06
  6. Step 6: Final answer
    x = 45,892.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.