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Finding the Third Proportional to 29,122.03 and 44,977.78

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Solution

The third proportional to 29,122.03 and 44,977.78 is: 69,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122.03 : 44,977.78 = 44,977.78 : x
  2. Step 2: Convert to fraction form
    29,122.03/44,977.78 = 44,977.78/x
  3. Step 3: Cross multiply
    29,122.03x = 44,977.78 × 44,977.78
  4. Step 4: Simplify right side
    29,122.03x = 2,023,000,806.17
  5. Step 5: Solve for x
    x = 2,023,000,806.17/29,122.03
  6. Step 6: Final answer
    x = 69,466.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.