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Finding the Third Proportional to 12,164 and 26,053

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Solution

The third proportional to 12,164 and 26,053 is: 55,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164 : 26,053 = 26,053 : x
  2. Step 2: Convert to fraction form
    12,164/26,053 = 26,053/x
  3. Step 3: Cross multiply
    12,164x = 26,053 × 26,053
  4. Step 4: Simplify right side
    12,164x = 678,758,809
  5. Step 5: Solve for x
    x = 678,758,809/12,164
  6. Step 6: Final answer
    x = 55,800.63

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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.