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Finding the Third Proportional to 7,922 and 9,038

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Solution

The third proportional to 7,922 and 9,038 is: 10,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 9,038 = 9,038 : x
  2. Step 2: Convert to fraction form
    7,922/9,038 = 9,038/x
  3. Step 3: Cross multiply
    7,922x = 9,038 × 9,038
  4. Step 4: Simplify right side
    7,922x = 81,685,444
  5. Step 5: Solve for x
    x = 81,685,444/7,922
  6. Step 6: Final answer
    x = 10,311.21

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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.