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Finding the Third Proportional to 7,404.54 and 15,994.34

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Solution

The third proportional to 7,404.54 and 15,994.34 is: 34,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.54 : 15,994.34 = 15,994.34 : x
  2. Step 2: Convert to fraction form
    7,404.54/15,994.34 = 15,994.34/x
  3. Step 3: Cross multiply
    7,404.54x = 15,994.34 × 15,994.34
  4. Step 4: Simplify right side
    7,404.54x = 255,818,782.08
  5. Step 5: Solve for x
    x = 255,818,782.08/7,404.54
  6. Step 6: Final answer
    x = 34,548.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.