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Finding the Third Proportional to 5,297.63 and 7,271.44

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Solution

The third proportional to 5,297.63 and 7,271.44 is: 9,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.63 : 7,271.44 = 7,271.44 : x
  2. Step 2: Convert to fraction form
    5,297.63/7,271.44 = 7,271.44/x
  3. Step 3: Cross multiply
    5,297.63x = 7,271.44 × 7,271.44
  4. Step 4: Simplify right side
    5,297.63x = 52,873,803.32
  5. Step 5: Solve for x
    x = 52,873,803.32/5,297.63
  6. Step 6: Final answer
    x = 9,980.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.