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Finding the Third Proportional to 7,461 and 11,543

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Solution

The third proportional to 7,461 and 11,543 is: 17,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 11,543 = 11,543 : x
  2. Step 2: Convert to fraction form
    7,461/11,543 = 11,543/x
  3. Step 3: Cross multiply
    7,461x = 11,543 × 11,543
  4. Step 4: Simplify right side
    7,461x = 133,240,849
  5. Step 5: Solve for x
    x = 133,240,849/7,461
  6. Step 6: Final answer
    x = 17,858.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.