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Finding the Third Proportional to 12,146 and 26,043

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Solution

The third proportional to 12,146 and 26,043 is: 55,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 26,043 = 26,043 : x
  2. Step 2: Convert to fraction form
    12,146/26,043 = 26,043/x
  3. Step 3: Cross multiply
    12,146x = 26,043 × 26,043
  4. Step 4: Simplify right side
    12,146x = 678,237,849
  5. Step 5: Solve for x
    x = 678,237,849/12,146
  6. Step 6: Final answer
    x = 55,840.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.