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Finding the Third Proportional to 8,970.75 and 18,442.69

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Solution

The third proportional to 8,970.75 and 18,442.69 is: 37,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.75 : 18,442.69 = 18,442.69 : x
  2. Step 2: Convert to fraction form
    8,970.75/18,442.69 = 18,442.69/x
  3. Step 3: Cross multiply
    8,970.75x = 18,442.69 × 18,442.69
  4. Step 4: Simplify right side
    8,970.75x = 340,132,722.22
  5. Step 5: Solve for x
    x = 340,132,722.22/8,970.75
  6. Step 6: Final answer
    x = 37,915.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.