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Finding the Third Proportional to 9,742 and 14,609

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Solution

The third proportional to 9,742 and 14,609 is: 21,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 14,609 = 14,609 : x
  2. Step 2: Convert to fraction form
    9,742/14,609 = 14,609/x
  3. Step 3: Cross multiply
    9,742x = 14,609 × 14,609
  4. Step 4: Simplify right side
    9,742x = 213,422,881
  5. Step 5: Solve for x
    x = 213,422,881/9,742
  6. Step 6: Final answer
    x = 21,907.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.