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Finding the Third Proportional to 39,125 and 59,435

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Solution

The third proportional to 39,125 and 59,435 is: 90,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,125 : 59,435 = 59,435 : x
  2. Step 2: Convert to fraction form
    39,125/59,435 = 59,435/x
  3. Step 3: Cross multiply
    39,125x = 59,435 × 59,435
  4. Step 4: Simplify right side
    39,125x = 3,532,519,225
  5. Step 5: Solve for x
    x = 3,532,519,225/39,125
  6. Step 6: Final answer
    x = 90,288.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.