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Finding the Third Proportional to 44,626 and 59,495

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Solution

The third proportional to 44,626 and 59,495 is: 79,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,626 : 59,495 = 59,495 : x
  2. Step 2: Convert to fraction form
    44,626/59,495 = 59,495/x
  3. Step 3: Cross multiply
    44,626x = 59,495 × 59,495
  4. Step 4: Simplify right side
    44,626x = 3,539,655,025
  5. Step 5: Solve for x
    x = 3,539,655,025/44,626
  6. Step 6: Final answer
    x = 79,318.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.