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Finding the Third Proportional to 36,038 and 78,536

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Solution

The third proportional to 36,038 and 78,536 is: 171,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038 : 78,536 = 78,536 : x
  2. Step 2: Convert to fraction form
    36,038/78,536 = 78,536/x
  3. Step 3: Cross multiply
    36,038x = 78,536 × 78,536
  4. Step 4: Simplify right side
    36,038x = 6,167,903,296
  5. Step 5: Solve for x
    x = 6,167,903,296/36,038
  6. Step 6: Final answer
    x = 171,149.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.