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Finding the Third Proportional to 19,761.47 and 30,048.47

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Solution

The third proportional to 19,761.47 and 30,048.47 is: 45,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.47 : 30,048.47 = 30,048.47 : x
  2. Step 2: Convert to fraction form
    19,761.47/30,048.47 = 30,048.47/x
  3. Step 3: Cross multiply
    19,761.47x = 30,048.47 × 30,048.47
  4. Step 4: Simplify right side
    19,761.47x = 902,910,474.22
  5. Step 5: Solve for x
    x = 902,910,474.22/19,761.47
  6. Step 6: Final answer
    x = 45,690.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.