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Finding the Third Proportional to 44,588 and 71,695

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Solution

The third proportional to 44,588 and 71,695 is: 115,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,588 : 71,695 = 71,695 : x
  2. Step 2: Convert to fraction form
    44,588/71,695 = 71,695/x
  3. Step 3: Cross multiply
    44,588x = 71,695 × 71,695
  4. Step 4: Simplify right side
    44,588x = 5,140,173,025
  5. Step 5: Solve for x
    x = 5,140,173,025/44,588
  6. Step 6: Final answer
    x = 115,281.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.