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Finding the Third Proportional to 9,706 and 14,841

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Solution

The third proportional to 9,706 and 14,841 is: 22,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706 : 14,841 = 14,841 : x
  2. Step 2: Convert to fraction form
    9,706/14,841 = 14,841/x
  3. Step 3: Cross multiply
    9,706x = 14,841 × 14,841
  4. Step 4: Simplify right side
    9,706x = 220,255,281
  5. Step 5: Solve for x
    x = 220,255,281/9,706
  6. Step 6: Final answer
    x = 22,692.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.