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Finding the Third Proportional to 6,097 and 8,281.25

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Solution

The third proportional to 6,097 and 8,281.25 is: 11,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097 : 8,281.25 = 8,281.25 : x
  2. Step 2: Convert to fraction form
    6,097/8,281.25 = 8,281.25/x
  3. Step 3: Cross multiply
    6,097x = 8,281.25 × 8,281.25
  4. Step 4: Simplify right side
    6,097x = 68,579,101.56
  5. Step 5: Solve for x
    x = 68,579,101.56/6,097
  6. Step 6: Final answer
    x = 11,248.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.