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Finding the Third Proportional to 29,946.38 and 44,661.38

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Solution

The third proportional to 29,946.38 and 44,661.38 is: 66,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946.38 : 44,661.38 = 44,661.38 : x
  2. Step 2: Convert to fraction form
    29,946.38/44,661.38 = 44,661.38/x
  3. Step 3: Cross multiply
    29,946.38x = 44,661.38 × 44,661.38
  4. Step 4: Simplify right side
    29,946.38x = 1,994,638,416.89
  5. Step 5: Solve for x
    x = 1,994,638,416.89/29,946.38
  6. Step 6: Final answer
    x = 66,607.01

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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.