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Finding the Third Proportional to 20,140.31 and 30,970.69

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Solution

The third proportional to 20,140.31 and 30,970.69 is: 47,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.31 : 30,970.69 = 30,970.69 : x
  2. Step 2: Convert to fraction form
    20,140.31/30,970.69 = 30,970.69/x
  3. Step 3: Cross multiply
    20,140.31x = 30,970.69 × 30,970.69
  4. Step 4: Simplify right side
    20,140.31x = 959,183,484.22
  5. Step 5: Solve for x
    x = 959,183,484.22/20,140.31
  6. Step 6: Final answer
    x = 47,625.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.