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Finding the Third Proportional to 7,100.16 and 14,914.13

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Solution

The third proportional to 7,100.16 and 14,914.13 is: 31,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.16 : 14,914.13 = 14,914.13 : x
  2. Step 2: Convert to fraction form
    7,100.16/14,914.13 = 14,914.13/x
  3. Step 3: Cross multiply
    7,100.16x = 14,914.13 × 14,914.13
  4. Step 4: Simplify right side
    7,100.16x = 222,431,124.52
  5. Step 5: Solve for x
    x = 222,431,124.52/7,100.16
  6. Step 6: Final answer
    x = 31,327.64

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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.