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Finding the Third Proportional to 19,754.30 and 30,290.20

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Solution

The third proportional to 19,754.30 and 30,290.20 is: 46,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.30 : 30,290.20 = 30,290.20 : x
  2. Step 2: Convert to fraction form
    19,754.30/30,290.20 = 30,290.20/x
  3. Step 3: Cross multiply
    19,754.30x = 30,290.20 × 30,290.20
  4. Step 4: Simplify right side
    19,754.30x = 917,496,405.35
  5. Step 5: Solve for x
    x = 917,496,405.35/19,754.30
  6. Step 6: Final answer
    x = 46,445.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.