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Finding the Third Proportional to 23,818 and 53,276

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Solution

The third proportional to 23,818 and 53,276 is: 119,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818 : 53,276 = 53,276 : x
  2. Step 2: Convert to fraction form
    23,818/53,276 = 53,276/x
  3. Step 3: Cross multiply
    23,818x = 53,276 × 53,276
  4. Step 4: Simplify right side
    23,818x = 2,838,332,176
  5. Step 5: Solve for x
    x = 2,838,332,176/23,818
  6. Step 6: Final answer
    x = 119,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.