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Finding the Third Proportional to 20,130 and 31,921.50

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Solution

The third proportional to 20,130 and 31,921.50 is: 50,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 31,921.50 = 31,921.50 : x
  2. Step 2: Convert to fraction form
    20,130/31,921.50 = 31,921.50/x
  3. Step 3: Cross multiply
    20,130x = 31,921.50 × 31,921.50
  4. Step 4: Simplify right side
    20,130x = 1,018,982,162.25
  5. Step 5: Solve for x
    x = 1,018,982,162.25/20,130
  6. Step 6: Final answer
    x = 50,620.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.