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Finding the Third Proportional to 40,038 and 85,014.38

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Solution

The third proportional to 40,038 and 85,014.38 is: 180,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,038 : 85,014.38 = 85,014.38 : x
  2. Step 2: Convert to fraction form
    40,038/85,014.38 = 85,014.38/x
  3. Step 3: Cross multiply
    40,038x = 85,014.38 × 85,014.38
  4. Step 4: Simplify right side
    40,038x = 7,227,443,956.64
  5. Step 5: Solve for x
    x = 7,227,443,956.64/40,038
  6. Step 6: Final answer
    x = 180,514.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.