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Finding the Third Proportional to 7,038 and 8,046

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Solution

The third proportional to 7,038 and 8,046 is: 9,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 8,046 = 8,046 : x
  2. Step 2: Convert to fraction form
    7,038/8,046 = 8,046/x
  3. Step 3: Cross multiply
    7,038x = 8,046 × 8,046
  4. Step 4: Simplify right side
    7,038x = 64,738,116
  5. Step 5: Solve for x
    x = 64,738,116/7,038
  6. Step 6: Final answer
    x = 9,198.37

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.