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Finding the Third Proportional to 4,897.94 and 7,392.47

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Solution

The third proportional to 4,897.94 and 7,392.47 is: 11,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.94 : 7,392.47 = 7,392.47 : x
  2. Step 2: Convert to fraction form
    4,897.94/7,392.47 = 7,392.47/x
  3. Step 3: Cross multiply
    4,897.94x = 7,392.47 × 7,392.47
  4. Step 4: Simplify right side
    4,897.94x = 54,648,594.22
  5. Step 5: Solve for x
    x = 54,648,594.22/4,897.94
  6. Step 6: Final answer
    x = 11,157.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.