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Finding the Third Proportional to 38,430 and 60,153

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Solution

The third proportional to 38,430 and 60,153 is: 94,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 60,153 = 60,153 : x
  2. Step 2: Convert to fraction form
    38,430/60,153 = 60,153/x
  3. Step 3: Cross multiply
    38,430x = 60,153 × 60,153
  4. Step 4: Simplify right side
    38,430x = 3,618,383,409
  5. Step 5: Solve for x
    x = 3,618,383,409/38,430
  6. Step 6: Final answer
    x = 94,155.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.