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Finding the Third Proportional to 9,155 and 13,399

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Solution

The third proportional to 9,155 and 13,399 is: 19,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155 : 13,399 = 13,399 : x
  2. Step 2: Convert to fraction form
    9,155/13,399 = 13,399/x
  3. Step 3: Cross multiply
    9,155x = 13,399 × 13,399
  4. Step 4: Simplify right side
    9,155x = 179,533,201
  5. Step 5: Solve for x
    x = 179,533,201/9,155
  6. Step 6: Final answer
    x = 19,610.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.