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Finding the Third Proportional to 12,036 and 26,052

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Solution

The third proportional to 12,036 and 26,052 is: 56,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036 : 26,052 = 26,052 : x
  2. Step 2: Convert to fraction form
    12,036/26,052 = 26,052/x
  3. Step 3: Cross multiply
    12,036x = 26,052 × 26,052
  4. Step 4: Simplify right side
    12,036x = 678,706,704
  5. Step 5: Solve for x
    x = 678,706,704/12,036
  6. Step 6: Final answer
    x = 56,389.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.