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Finding the Third Proportional to 4,527.56 and 5,297.06

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Solution

The third proportional to 4,527.56 and 5,297.06 is: 6,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.56 : 5,297.06 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    4,527.56/5,297.06 = 5,297.06/x
  3. Step 3: Cross multiply
    4,527.56x = 5,297.06 × 5,297.06
  4. Step 4: Simplify right side
    4,527.56x = 28,058,871.13
  5. Step 5: Solve for x
    x = 28,058,871.13/4,527.56
  6. Step 6: Final answer
    x = 6,197.35

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.