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Finding the Third Proportional to 29,055 and 44,680.50

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Solution

The third proportional to 29,055 and 44,680.50 is: 68,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,055 : 44,680.50 = 44,680.50 : x
  2. Step 2: Convert to fraction form
    29,055/44,680.50 = 44,680.50/x
  3. Step 3: Cross multiply
    29,055x = 44,680.50 × 44,680.50
  4. Step 4: Simplify right side
    29,055x = 1,996,347,080.25
  5. Step 5: Solve for x
    x = 1,996,347,080.25/29,055
  6. Step 6: Final answer
    x = 68,709.24

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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.