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Finding the Third Proportional to 4,705 and 6,584.50

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Solution

The third proportional to 4,705 and 6,584.50 is: 9,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705 : 6,584.50 = 6,584.50 : x
  2. Step 2: Convert to fraction form
    4,705/6,584.50 = 6,584.50/x
  3. Step 3: Cross multiply
    4,705x = 6,584.50 × 6,584.50
  4. Step 4: Simplify right side
    4,705x = 43,355,640.25
  5. Step 5: Solve for x
    x = 43,355,640.25/4,705
  6. Step 6: Final answer
    x = 9,214.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.