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Finding the Third Proportional to 29,538.56 and 44,114.72

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Solution

The third proportional to 29,538.56 and 44,114.72 is: 65,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.56 : 44,114.72 = 44,114.72 : x
  2. Step 2: Convert to fraction form
    29,538.56/44,114.72 = 44,114.72/x
  3. Step 3: Cross multiply
    29,538.56x = 44,114.72 × 44,114.72
  4. Step 4: Simplify right side
    29,538.56x = 1,946,108,410.39
  5. Step 5: Solve for x
    x = 1,946,108,410.39/29,538.56
  6. Step 6: Final answer
    x = 65,883.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.