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Finding the Third Proportional to 38,038.50 and 77,229

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Solution

The third proportional to 38,038.50 and 77,229 is: 156,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038.50 : 77,229 = 77,229 : x
  2. Step 2: Convert to fraction form
    38,038.50/77,229 = 77,229/x
  3. Step 3: Cross multiply
    38,038.50x = 77,229 × 77,229
  4. Step 4: Simplify right side
    38,038.50x = 5,964,318,441
  5. Step 5: Solve for x
    x = 5,964,318,441/38,038.50
  6. Step 6: Final answer
    x = 156,796.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.