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Finding the Third Proportional to 38,100 and 56,045

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Solution

The third proportional to 38,100 and 56,045 is: 82,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 56,045 = 56,045 : x
  2. Step 2: Convert to fraction form
    38,100/56,045 = 56,045/x
  3. Step 3: Cross multiply
    38,100x = 56,045 × 56,045
  4. Step 4: Simplify right side
    38,100x = 3,141,042,025
  5. Step 5: Solve for x
    x = 3,141,042,025/38,100
  6. Step 6: Final answer
    x = 82,442.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.