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Finding the Third Proportional to 38,672 and 61,535.25

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Solution

The third proportional to 38,672 and 61,535.25 is: 97,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,672 : 61,535.25 = 61,535.25 : x
  2. Step 2: Convert to fraction form
    38,672/61,535.25 = 61,535.25/x
  3. Step 3: Cross multiply
    38,672x = 61,535.25 × 61,535.25
  4. Step 4: Simplify right side
    38,672x = 3,786,586,992.56
  5. Step 5: Solve for x
    x = 3,786,586,992.56/38,672
  6. Step 6: Final answer
    x = 97,915.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.