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Finding the Third Proportional to 20,342.94 and 31,100.68

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Solution

The third proportional to 20,342.94 and 31,100.68 is: 47,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.94 : 31,100.68 = 31,100.68 : x
  2. Step 2: Convert to fraction form
    20,342.94/31,100.68 = 31,100.68/x
  3. Step 3: Cross multiply
    20,342.94x = 31,100.68 × 31,100.68
  4. Step 4: Simplify right side
    20,342.94x = 967,252,155.54
  5. Step 5: Solve for x
    x = 967,252,155.54/20,342.94
  6. Step 6: Final answer
    x = 47,547.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.