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Finding the Third Proportional to 38,134 and 58,335

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Solution

The third proportional to 38,134 and 58,335 is: 89,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134 : 58,335 = 58,335 : x
  2. Step 2: Convert to fraction form
    38,134/58,335 = 58,335/x
  3. Step 3: Cross multiply
    38,134x = 58,335 × 58,335
  4. Step 4: Simplify right side
    38,134x = 3,402,972,225
  5. Step 5: Solve for x
    x = 3,402,972,225/38,134
  6. Step 6: Final answer
    x = 89,237.22

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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.