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Finding the Third Proportional to 10,485 and 22,813

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Solution

The third proportional to 10,485 and 22,813 is: 49,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485 : 22,813 = 22,813 : x
  2. Step 2: Convert to fraction form
    10,485/22,813 = 22,813/x
  3. Step 3: Cross multiply
    10,485x = 22,813 × 22,813
  4. Step 4: Simplify right side
    10,485x = 520,432,969
  5. Step 5: Solve for x
    x = 520,432,969/10,485
  6. Step 6: Final answer
    x = 49,635.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.