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Finding the Third Proportional to 7,028 and 8,052

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Solution

The third proportional to 7,028 and 8,052 is: 9,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028 : 8,052 = 8,052 : x
  2. Step 2: Convert to fraction form
    7,028/8,052 = 8,052/x
  3. Step 3: Cross multiply
    7,028x = 8,052 × 8,052
  4. Step 4: Simplify right side
    7,028x = 64,834,704
  5. Step 5: Solve for x
    x = 64,834,704/7,028
  6. Step 6: Final answer
    x = 9,225.20

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.