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Finding the Third Proportional to 29,052 and 43,038

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Solution

The third proportional to 29,052 and 43,038 is: 63,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052 : 43,038 = 43,038 : x
  2. Step 2: Convert to fraction form
    29,052/43,038 = 43,038/x
  3. Step 3: Cross multiply
    29,052x = 43,038 × 43,038
  4. Step 4: Simplify right side
    29,052x = 1,852,269,444
  5. Step 5: Solve for x
    x = 1,852,269,444/29,052
  6. Step 6: Final answer
    x = 63,757.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.