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Finding the Third Proportional to 7,108.50 and 9,943.25

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Solution

The third proportional to 7,108.50 and 9,943.25 is: 13,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.50 : 9,943.25 = 9,943.25 : x
  2. Step 2: Convert to fraction form
    7,108.50/9,943.25 = 9,943.25/x
  3. Step 3: Cross multiply
    7,108.50x = 9,943.25 × 9,943.25
  4. Step 4: Simplify right side
    7,108.50x = 98,868,220.56
  5. Step 5: Solve for x
    x = 98,868,220.56/7,108.50
  6. Step 6: Final answer
    x = 13,908.45

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