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Finding the Third Proportional to 29,371.50 and 44,066

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Solution

The third proportional to 29,371.50 and 44,066 is: 66,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,371.50 : 44,066 = 44,066 : x
  2. Step 2: Convert to fraction form
    29,371.50/44,066 = 44,066/x
  3. Step 3: Cross multiply
    29,371.50x = 44,066 × 44,066
  4. Step 4: Simplify right side
    29,371.50x = 1,941,812,356
  5. Step 5: Solve for x
    x = 1,941,812,356/29,371.50
  6. Step 6: Final answer
    x = 66,112.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.