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Finding the Third Proportional to 9,756 and 21,364

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Solution

The third proportional to 9,756 and 21,364 is: 46,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 21,364 = 21,364 : x
  2. Step 2: Convert to fraction form
    9,756/21,364 = 21,364/x
  3. Step 3: Cross multiply
    9,756x = 21,364 × 21,364
  4. Step 4: Simplify right side
    9,756x = 456,420,496
  5. Step 5: Solve for x
    x = 456,420,496/9,756
  6. Step 6: Final answer
    x = 46,783.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.