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Finding the Third Proportional to 44,615 and 59,478

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Solution

The third proportional to 44,615 and 59,478 is: 79,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,615 : 59,478 = 59,478 : x
  2. Step 2: Convert to fraction form
    44,615/59,478 = 59,478/x
  3. Step 3: Cross multiply
    44,615x = 59,478 × 59,478
  4. Step 4: Simplify right side
    44,615x = 3,537,632,484
  5. Step 5: Solve for x
    x = 3,537,632,484/44,615
  6. Step 6: Final answer
    x = 79,292.45

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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.