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Finding the Third Proportional to 10,023 and 19,278

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Solution

The third proportional to 10,023 and 19,278 is: 37,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023 : 19,278 = 19,278 : x
  2. Step 2: Convert to fraction form
    10,023/19,278 = 19,278/x
  3. Step 3: Cross multiply
    10,023x = 19,278 × 19,278
  4. Step 4: Simplify right side
    10,023x = 371,641,284
  5. Step 5: Solve for x
    x = 371,641,284/10,023
  6. Step 6: Final answer
    x = 37,078.85

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.