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Finding the Third Proportional to 4,890.75 and 6,627.75

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Solution

The third proportional to 4,890.75 and 6,627.75 is: 8,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.75 : 6,627.75 = 6,627.75 : x
  2. Step 2: Convert to fraction form
    4,890.75/6,627.75 = 6,627.75/x
  3. Step 3: Cross multiply
    4,890.75x = 6,627.75 × 6,627.75
  4. Step 4: Simplify right side
    4,890.75x = 43,927,070.06
  5. Step 5: Solve for x
    x = 43,927,070.06/4,890.75
  6. Step 6: Final answer
    x = 8,981.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.