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Finding the Third Proportional to 29,889 and 46,883.81

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Solution

The third proportional to 29,889 and 46,883.81 is: 73,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,889 : 46,883.81 = 46,883.81 : x
  2. Step 2: Convert to fraction form
    29,889/46,883.81 = 46,883.81/x
  3. Step 3: Cross multiply
    29,889x = 46,883.81 × 46,883.81
  4. Step 4: Simplify right side
    29,889x = 2,198,091,874.54
  5. Step 5: Solve for x
    x = 2,198,091,874.54/29,889
  6. Step 6: Final answer
    x = 73,541.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.