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Finding the Third Proportional to 29,052 and 51,333.75

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Solution

The third proportional to 29,052 and 51,333.75 is: 90,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052 : 51,333.75 = 51,333.75 : x
  2. Step 2: Convert to fraction form
    29,052/51,333.75 = 51,333.75/x
  3. Step 3: Cross multiply
    29,052x = 51,333.75 × 51,333.75
  4. Step 4: Simplify right side
    29,052x = 2,635,153,889.06
  5. Step 5: Solve for x
    x = 2,635,153,889.06/29,052
  6. Step 6: Final answer
    x = 90,704.73

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.