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Finding the Third Proportional to 10,905 and 24,278

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Solution

The third proportional to 10,905 and 24,278 is: 54,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905 : 24,278 = 24,278 : x
  2. Step 2: Convert to fraction form
    10,905/24,278 = 24,278/x
  3. Step 3: Cross multiply
    10,905x = 24,278 × 24,278
  4. Step 4: Simplify right side
    10,905x = 589,421,284
  5. Step 5: Solve for x
    x = 589,421,284/10,905
  6. Step 6: Final answer
    x = 54,050.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.