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Finding the Third Proportional to 6,580.25 and 14,348.50

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Solution

The third proportional to 6,580.25 and 14,348.50 is: 31,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.25 : 14,348.50 = 14,348.50 : x
  2. Step 2: Convert to fraction form
    6,580.25/14,348.50 = 14,348.50/x
  3. Step 3: Cross multiply
    6,580.25x = 14,348.50 × 14,348.50
  4. Step 4: Simplify right side
    6,580.25x = 205,879,452.25
  5. Step 5: Solve for x
    x = 205,879,452.25/6,580.25
  6. Step 6: Final answer
    x = 31,287.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.