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Finding the Third Proportional to 25,924 and 55,533

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Solution

The third proportional to 25,924 and 55,533 is: 118,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924 : 55,533 = 55,533 : x
  2. Step 2: Convert to fraction form
    25,924/55,533 = 55,533/x
  3. Step 3: Cross multiply
    25,924x = 55,533 × 55,533
  4. Step 4: Simplify right side
    25,924x = 3,083,914,089
  5. Step 5: Solve for x
    x = 3,083,914,089/25,924
  6. Step 6: Final answer
    x = 118,959.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.