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Finding the Third Proportional to 12,088 and 26,192

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Solution

The third proportional to 12,088 and 26,192 is: 56,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088 : 26,192 = 26,192 : x
  2. Step 2: Convert to fraction form
    12,088/26,192 = 26,192/x
  3. Step 3: Cross multiply
    12,088x = 26,192 × 26,192
  4. Step 4: Simplify right side
    12,088x = 686,020,864
  5. Step 5: Solve for x
    x = 686,020,864/12,088
  6. Step 6: Final answer
    x = 56,752.22

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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.