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Finding the Third Proportional to 38,475 and 58,225

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Solution

The third proportional to 38,475 and 58,225 is: 88,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 58,225 = 58,225 : x
  2. Step 2: Convert to fraction form
    38,475/58,225 = 58,225/x
  3. Step 3: Cross multiply
    38,475x = 58,225 × 58,225
  4. Step 4: Simplify right side
    38,475x = 3,390,150,625
  5. Step 5: Solve for x
    x = 3,390,150,625/38,475
  6. Step 6: Final answer
    x = 88,113.08

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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.