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Finding the Third Proportional to 29,430 and 43,939.13

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Solution

The third proportional to 29,430 and 43,939.13 is: 65,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430 : 43,939.13 = 43,939.13 : x
  2. Step 2: Convert to fraction form
    29,430/43,939.13 = 43,939.13/x
  3. Step 3: Cross multiply
    29,430x = 43,939.13 × 43,939.13
  4. Step 4: Simplify right side
    29,430x = 1,930,646,705.77
  5. Step 5: Solve for x
    x = 1,930,646,705.77/29,430
  6. Step 6: Final answer
    x = 65,601.32

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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.