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Finding the Third Proportional to 25,302 and 38,303

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Solution

The third proportional to 25,302 and 38,303 is: 57,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302 : 38,303 = 38,303 : x
  2. Step 2: Convert to fraction form
    25,302/38,303 = 38,303/x
  3. Step 3: Cross multiply
    25,302x = 38,303 × 38,303
  4. Step 4: Simplify right side
    25,302x = 1,467,119,809
  5. Step 5: Solve for x
    x = 1,467,119,809/25,302
  6. Step 6: Final answer
    x = 57,984.34

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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.