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Finding the Third Proportional to 36,945 and 58,511.25

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Solution

The third proportional to 36,945 and 58,511.25 is: 92,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,945 : 58,511.25 = 58,511.25 : x
  2. Step 2: Convert to fraction form
    36,945/58,511.25 = 58,511.25/x
  3. Step 3: Cross multiply
    36,945x = 58,511.25 × 58,511.25
  4. Step 4: Simplify right side
    36,945x = 3,423,566,376.56
  5. Step 5: Solve for x
    x = 3,423,566,376.56/36,945
  6. Step 6: Final answer
    x = 92,666.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.