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Finding the Third Proportional to 4,886.58 and 7,466.55

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Solution

The third proportional to 4,886.58 and 7,466.55 is: 11,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.58 : 7,466.55 = 7,466.55 : x
  2. Step 2: Convert to fraction form
    4,886.58/7,466.55 = 7,466.55/x
  3. Step 3: Cross multiply
    4,886.58x = 7,466.55 × 7,466.55
  4. Step 4: Simplify right side
    4,886.58x = 55,749,438.90
  5. Step 5: Solve for x
    x = 55,749,438.90/4,886.58
  6. Step 6: Final answer
    x = 11,408.69

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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.