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Finding the Third Proportional to 7,030 and 8,326

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Solution

The third proportional to 7,030 and 8,326 is: 9,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030 : 8,326 = 8,326 : x
  2. Step 2: Convert to fraction form
    7,030/8,326 = 8,326/x
  3. Step 3: Cross multiply
    7,030x = 8,326 × 8,326
  4. Step 4: Simplify right side
    7,030x = 69,322,276
  5. Step 5: Solve for x
    x = 69,322,276/7,030
  6. Step 6: Final answer
    x = 9,860.92

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.