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Finding the Third Proportional to 10,152 and 19,278

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Solution

The third proportional to 10,152 and 19,278 is: 36,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 19,278 = 19,278 : x
  2. Step 2: Convert to fraction form
    10,152/19,278 = 19,278/x
  3. Step 3: Cross multiply
    10,152x = 19,278 × 19,278
  4. Step 4: Simplify right side
    10,152x = 371,641,284
  5. Step 5: Solve for x
    x = 371,641,284/10,152
  6. Step 6: Final answer
    x = 36,607.69

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.