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Finding the Third Proportional to 12,146 and 26,206

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Solution

The third proportional to 12,146 and 26,206 is: 56,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 26,206 = 26,206 : x
  2. Step 2: Convert to fraction form
    12,146/26,206 = 26,206/x
  3. Step 3: Cross multiply
    12,146x = 26,206 × 26,206
  4. Step 4: Simplify right side
    12,146x = 686,754,436
  5. Step 5: Solve for x
    x = 686,754,436/12,146
  6. Step 6: Final answer
    x = 56,541.61

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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.