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Finding the Third Proportional to 29,439 and 45,481.50

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Solution

The third proportional to 29,439 and 45,481.50 is: 70,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439 : 45,481.50 = 45,481.50 : x
  2. Step 2: Convert to fraction form
    29,439/45,481.50 = 45,481.50/x
  3. Step 3: Cross multiply
    29,439x = 45,481.50 × 45,481.50
  4. Step 4: Simplify right side
    29,439x = 2,068,566,842.25
  5. Step 5: Solve for x
    x = 2,068,566,842.25/29,439
  6. Step 6: Final answer
    x = 70,266.21

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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.