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Finding the Third Proportional to 6,708 and 12,805.50

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Solution

The third proportional to 6,708 and 12,805.50 is: 24,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708 : 12,805.50 = 12,805.50 : x
  2. Step 2: Convert to fraction form
    6,708/12,805.50 = 12,805.50/x
  3. Step 3: Cross multiply
    6,708x = 12,805.50 × 12,805.50
  4. Step 4: Simplify right side
    6,708x = 163,980,830.25
  5. Step 5: Solve for x
    x = 163,980,830.25/6,708
  6. Step 6: Final answer
    x = 24,445.56

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.