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Finding the Third Proportional to 23,820 and 53,278

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Solution

The third proportional to 23,820 and 53,278 is: 119,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820 : 53,278 = 53,278 : x
  2. Step 2: Convert to fraction form
    23,820/53,278 = 53,278/x
  3. Step 3: Cross multiply
    23,820x = 53,278 × 53,278
  4. Step 4: Simplify right side
    23,820x = 2,838,545,284
  5. Step 5: Solve for x
    x = 2,838,545,284/23,820
  6. Step 6: Final answer
    x = 119,166.47

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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.