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Finding the Third Proportional to 29,038.50 and 40,893.50

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Solution

The third proportional to 29,038.50 and 40,893.50 is: 57,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.50 : 40,893.50 = 40,893.50 : x
  2. Step 2: Convert to fraction form
    29,038.50/40,893.50 = 40,893.50/x
  3. Step 3: Cross multiply
    29,038.50x = 40,893.50 × 40,893.50
  4. Step 4: Simplify right side
    29,038.50x = 1,672,278,342.25
  5. Step 5: Solve for x
    x = 1,672,278,342.25/29,038.50
  6. Step 6: Final answer
    x = 57,588.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.