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Finding the Third Proportional to 10,461 and 11,973

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Solution

The third proportional to 10,461 and 11,973 is: 13,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 11,973 = 11,973 : x
  2. Step 2: Convert to fraction form
    10,461/11,973 = 11,973/x
  3. Step 3: Cross multiply
    10,461x = 11,973 × 11,973
  4. Step 4: Simplify right side
    10,461x = 143,352,729
  5. Step 5: Solve for x
    x = 143,352,729/10,461
  6. Step 6: Final answer
    x = 13,703.54

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.