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Finding the Third Proportional to 25,629 and 55,209

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Solution

The third proportional to 25,629 and 55,209 is: 118,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629 : 55,209 = 55,209 : x
  2. Step 2: Convert to fraction form
    25,629/55,209 = 55,209/x
  3. Step 3: Cross multiply
    25,629x = 55,209 × 55,209
  4. Step 4: Simplify right side
    25,629x = 3,048,033,681
  5. Step 5: Solve for x
    x = 3,048,033,681/25,629
  6. Step 6: Final answer
    x = 118,929.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.