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Finding the Third Proportional to 19,608.75 and 31,478.63

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Solution

The third proportional to 19,608.75 and 31,478.63 is: 50,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.75 : 31,478.63 = 31,478.63 : x
  2. Step 2: Convert to fraction form
    19,608.75/31,478.63 = 31,478.63/x
  3. Step 3: Cross multiply
    19,608.75x = 31,478.63 × 31,478.63
  4. Step 4: Simplify right side
    19,608.75x = 990,903,831.89
  5. Step 5: Solve for x
    x = 990,903,831.89/19,608.75
  6. Step 6: Final answer
    x = 50,533.76

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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.