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Finding the Third Proportional to 20,151.75 and 31,773.38

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Solution

The third proportional to 20,151.75 and 31,773.38 is: 50,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.75 : 31,773.38 = 31,773.38 : x
  2. Step 2: Convert to fraction form
    20,151.75/31,773.38 = 31,773.38/x
  3. Step 3: Cross multiply
    20,151.75x = 31,773.38 × 31,773.38
  4. Step 4: Simplify right side
    20,151.75x = 1,009,547,358.89
  5. Step 5: Solve for x
    x = 1,009,547,358.89/20,151.75
  6. Step 6: Final answer
    x = 50,097.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.