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Finding the Third Proportional to 4,972.01 and 7,902.25

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Solution

The third proportional to 4,972.01 and 7,902.25 is: 12,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.01 : 7,902.25 = 7,902.25 : x
  2. Step 2: Convert to fraction form
    4,972.01/7,902.25 = 7,902.25/x
  3. Step 3: Cross multiply
    4,972.01x = 7,902.25 × 7,902.25
  4. Step 4: Simplify right side
    4,972.01x = 62,445,493.33
  5. Step 5: Solve for x
    x = 62,445,493.33/4,972.01
  6. Step 6: Final answer
    x = 12,559.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.