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Finding the Third Proportional to 9,648 and 14,656

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Solution

The third proportional to 9,648 and 14,656 is: 22,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648 : 14,656 = 14,656 : x
  2. Step 2: Convert to fraction form
    9,648/14,656 = 14,656/x
  3. Step 3: Cross multiply
    9,648x = 14,656 × 14,656
  4. Step 4: Simplify right side
    9,648x = 214,798,336
  5. Step 5: Solve for x
    x = 214,798,336/9,648
  6. Step 6: Final answer
    x = 22,263.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.