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Finding the Third Proportional to 12,965.06 and 20,055.38

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Solution

The third proportional to 12,965.06 and 20,055.38 is: 31,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.06 : 20,055.38 = 20,055.38 : x
  2. Step 2: Convert to fraction form
    12,965.06/20,055.38 = 20,055.38/x
  3. Step 3: Cross multiply
    12,965.06x = 20,055.38 × 20,055.38
  4. Step 4: Simplify right side
    12,965.06x = 402,218,066.39
  5. Step 5: Solve for x
    x = 402,218,066.39/12,965.06
  6. Step 6: Final answer
    x = 31,023.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.