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Finding the Third Proportional to 6,074.30 and 9,918.84

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Solution

The third proportional to 6,074.30 and 9,918.84 is: 16,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.30 : 9,918.84 = 9,918.84 : x
  2. Step 2: Convert to fraction form
    6,074.30/9,918.84 = 9,918.84/x
  3. Step 3: Cross multiply
    6,074.30x = 9,918.84 × 9,918.84
  4. Step 4: Simplify right side
    6,074.30x = 98,383,461.34
  5. Step 5: Solve for x
    x = 98,383,461.34/6,074.30
  6. Step 6: Final answer
    x = 16,196.68

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.