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Finding the Third Proportional to 12,051 and 26,114

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Solution

The third proportional to 12,051 and 26,114 is: 56,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051 : 26,114 = 26,114 : x
  2. Step 2: Convert to fraction form
    12,051/26,114 = 26,114/x
  3. Step 3: Cross multiply
    12,051x = 26,114 × 26,114
  4. Step 4: Simplify right side
    12,051x = 681,940,996
  5. Step 5: Solve for x
    x = 681,940,996/12,051
  6. Step 6: Final answer
    x = 56,587.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.