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Finding the Third Proportional to 39,538 and 94,507

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Solution

The third proportional to 39,538 and 94,507 is: 225,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538 : 94,507 = 94,507 : x
  2. Step 2: Convert to fraction form
    39,538/94,507 = 94,507/x
  3. Step 3: Cross multiply
    39,538x = 94,507 × 94,507
  4. Step 4: Simplify right side
    39,538x = 8,931,573,049
  5. Step 5: Solve for x
    x = 8,931,573,049/39,538
  6. Step 6: Final answer
    x = 225,898.45

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.