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Finding the Third Proportional to 12,155 and 15,530.25

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Solution

The third proportional to 12,155 and 15,530.25 is: 19,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155 : 15,530.25 = 15,530.25 : x
  2. Step 2: Convert to fraction form
    12,155/15,530.25 = 15,530.25/x
  3. Step 3: Cross multiply
    12,155x = 15,530.25 × 15,530.25
  4. Step 4: Simplify right side
    12,155x = 241,188,665.06
  5. Step 5: Solve for x
    x = 241,188,665.06/12,155
  6. Step 6: Final answer
    x = 19,842.75

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.