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Finding the Third Proportional to 44,516 and 59,462

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Solution

The third proportional to 44,516 and 59,462 is: 79,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,516 : 59,462 = 59,462 : x
  2. Step 2: Convert to fraction form
    44,516/59,462 = 59,462/x
  3. Step 3: Cross multiply
    44,516x = 59,462 × 59,462
  4. Step 4: Simplify right side
    44,516x = 3,535,729,444
  5. Step 5: Solve for x
    x = 3,535,729,444/44,516
  6. Step 6: Final answer
    x = 79,426.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.