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Finding the Third Proportional to 9,896 and 23,276

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Solution

The third proportional to 9,896 and 23,276 is: 54,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896 : 23,276 = 23,276 : x
  2. Step 2: Convert to fraction form
    9,896/23,276 = 23,276/x
  3. Step 3: Cross multiply
    9,896x = 23,276 × 23,276
  4. Step 4: Simplify right side
    9,896x = 541,772,176
  5. Step 5: Solve for x
    x = 541,772,176/9,896
  6. Step 6: Final answer
    x = 54,746.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.