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Finding the Third Proportional to 19,484.44 and 31,378.50

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Solution

The third proportional to 19,484.44 and 31,378.50 is: 50,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484.44 : 31,378.50 = 31,378.50 : x
  2. Step 2: Convert to fraction form
    19,484.44/31,378.50 = 31,378.50/x
  3. Step 3: Cross multiply
    19,484.44x = 31,378.50 × 31,378.50
  4. Step 4: Simplify right side
    19,484.44x = 984,610,262.25
  5. Step 5: Solve for x
    x = 984,610,262.25/19,484.44
  6. Step 6: Final answer
    x = 50,533.16

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.