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Finding the Third Proportional to 44,023 and 65,875

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Solution

The third proportional to 44,023 and 65,875 is: 98,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,023 : 65,875 = 65,875 : x
  2. Step 2: Convert to fraction form
    44,023/65,875 = 65,875/x
  3. Step 3: Cross multiply
    44,023x = 65,875 × 65,875
  4. Step 4: Simplify right side
    44,023x = 4,339,515,625
  5. Step 5: Solve for x
    x = 4,339,515,625/44,023
  6. Step 6: Final answer
    x = 98,573.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.