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Finding the Third Proportional to 19,470.50 and 30,503.50

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Solution

The third proportional to 19,470.50 and 30,503.50 is: 47,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470.50 : 30,503.50 = 30,503.50 : x
  2. Step 2: Convert to fraction form
    19,470.50/30,503.50 = 30,503.50/x
  3. Step 3: Cross multiply
    19,470.50x = 30,503.50 × 30,503.50
  4. Step 4: Simplify right side
    19,470.50x = 930,463,512.25
  5. Step 5: Solve for x
    x = 930,463,512.25/19,470.50
  6. Step 6: Final answer
    x = 47,788.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.