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Finding the Third Proportional to 4,836 and 10,461

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Solution

The third proportional to 4,836 and 10,461 is: 22,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836 : 10,461 = 10,461 : x
  2. Step 2: Convert to fraction form
    4,836/10,461 = 10,461/x
  3. Step 3: Cross multiply
    4,836x = 10,461 × 10,461
  4. Step 4: Simplify right side
    4,836x = 109,432,521
  5. Step 5: Solve for x
    x = 109,432,521/4,836
  6. Step 6: Final answer
    x = 22,628.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.