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Finding the Third Proportional to 29,893.50 and 65,592

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Solution

The third proportional to 29,893.50 and 65,592 is: 143,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893.50 : 65,592 = 65,592 : x
  2. Step 2: Convert to fraction form
    29,893.50/65,592 = 65,592/x
  3. Step 3: Cross multiply
    29,893.50x = 65,592 × 65,592
  4. Step 4: Simplify right side
    29,893.50x = 4,302,310,464
  5. Step 5: Solve for x
    x = 4,302,310,464/29,893.50
  6. Step 6: Final answer
    x = 143,921.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.