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Finding the Third Proportional to 25,278 and 38,265

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Solution

The third proportional to 25,278 and 38,265 is: 57,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278 : 38,265 = 38,265 : x
  2. Step 2: Convert to fraction form
    25,278/38,265 = 38,265/x
  3. Step 3: Cross multiply
    25,278x = 38,265 × 38,265
  4. Step 4: Simplify right side
    25,278x = 1,464,210,225
  5. Step 5: Solve for x
    x = 1,464,210,225/25,278
  6. Step 6: Final answer
    x = 57,924.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.