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Finding the Third Proportional to 3,069.77 and 4,607.51

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Solution

The third proportional to 3,069.77 and 4,607.51 is: 6,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.77 : 4,607.51 = 4,607.51 : x
  2. Step 2: Convert to fraction form
    3,069.77/4,607.51 = 4,607.51/x
  3. Step 3: Cross multiply
    3,069.77x = 4,607.51 × 4,607.51
  4. Step 4: Simplify right side
    3,069.77x = 21,229,128.24
  5. Step 5: Solve for x
    x = 21,229,128.24/3,069.77
  6. Step 6: Final answer
    x = 6,915.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.