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Finding the Third Proportional to 12,672 and 26,152

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Solution

The third proportional to 12,672 and 26,152 is: 53,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672 : 26,152 = 26,152 : x
  2. Step 2: Convert to fraction form
    12,672/26,152 = 26,152/x
  3. Step 3: Cross multiply
    12,672x = 26,152 × 26,152
  4. Step 4: Simplify right side
    12,672x = 683,927,104
  5. Step 5: Solve for x
    x = 683,927,104/12,672
  6. Step 6: Final answer
    x = 53,971.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.