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Finding the Third Proportional to 6,220 and 13,365.50

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Solution

The third proportional to 6,220 and 13,365.50 is: 28,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220 : 13,365.50 = 13,365.50 : x
  2. Step 2: Convert to fraction form
    6,220/13,365.50 = 13,365.50/x
  3. Step 3: Cross multiply
    6,220x = 13,365.50 × 13,365.50
  4. Step 4: Simplify right side
    6,220x = 178,636,590.25
  5. Step 5: Solve for x
    x = 178,636,590.25/6,220
  6. Step 6: Final answer
    x = 28,719.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.