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Finding the Third Proportional to 29,949.75 and 44,666.44

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Solution

The third proportional to 29,949.75 and 44,666.44 is: 66,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,949.75 : 44,666.44 = 44,666.44 : x
  2. Step 2: Convert to fraction form
    29,949.75/44,666.44 = 44,666.44/x
  3. Step 3: Cross multiply
    29,949.75x = 44,666.44 × 44,666.44
  4. Step 4: Simplify right side
    29,949.75x = 1,995,090,638.94
  5. Step 5: Solve for x
    x = 1,995,090,638.94/29,949.75
  6. Step 6: Final answer
    x = 66,614.60

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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.