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Finding the Third Proportional to 7,054.88 and 10,976.63

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Solution

The third proportional to 7,054.88 and 10,976.63 is: 17,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.88 : 10,976.63 = 10,976.63 : x
  2. Step 2: Convert to fraction form
    7,054.88/10,976.63 = 10,976.63/x
  3. Step 3: Cross multiply
    7,054.88x = 10,976.63 × 10,976.63
  4. Step 4: Simplify right side
    7,054.88x = 120,486,296.39
  5. Step 5: Solve for x
    x = 120,486,296.39/7,054.88
  6. Step 6: Final answer
    x = 17,078.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.