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Finding the Third Proportional to 7,105.50 and 14,945.63

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Solution

The third proportional to 7,105.50 and 14,945.63 is: 31,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.50 : 14,945.63 = 14,945.63 : x
  2. Step 2: Convert to fraction form
    7,105.50/14,945.63 = 14,945.63/x
  3. Step 3: Cross multiply
    7,105.50x = 14,945.63 × 14,945.63
  4. Step 4: Simplify right side
    7,105.50x = 223,371,706.64
  5. Step 5: Solve for x
    x = 223,371,706.64/7,105.50
  6. Step 6: Final answer
    x = 31,436.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.