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Finding the Third Proportional to 6,373.50 and 13,978.13

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Solution

The third proportional to 6,373.50 and 13,978.13 is: 30,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.50 : 13,978.13 = 13,978.13 : x
  2. Step 2: Convert to fraction form
    6,373.50/13,978.13 = 13,978.13/x
  3. Step 3: Cross multiply
    6,373.50x = 13,978.13 × 13,978.13
  4. Step 4: Simplify right side
    6,373.50x = 195,387,978.52
  5. Step 5: Solve for x
    x = 195,387,978.52/6,373.50
  6. Step 6: Final answer
    x = 30,656.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.