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Finding the Third Proportional to 12,036 and 13,260

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Solution

The third proportional to 12,036 and 13,260 is: 14,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036 : 13,260 = 13,260 : x
  2. Step 2: Convert to fraction form
    12,036/13,260 = 13,260/x
  3. Step 3: Cross multiply
    12,036x = 13,260 × 13,260
  4. Step 4: Simplify right side
    12,036x = 175,827,600
  5. Step 5: Solve for x
    x = 175,827,600/12,036
  6. Step 6: Final answer
    x = 14,608.47

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.