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Finding the Third Proportional to 25,203 and 38,535

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Solution

The third proportional to 25,203 and 38,535 is: 58,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203 : 38,535 = 38,535 : x
  2. Step 2: Convert to fraction form
    25,203/38,535 = 38,535/x
  3. Step 3: Cross multiply
    25,203x = 38,535 × 38,535
  4. Step 4: Simplify right side
    25,203x = 1,484,946,225
  5. Step 5: Solve for x
    x = 1,484,946,225/25,203
  6. Step 6: Final answer
    x = 58,919.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.