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Finding the Third Proportional to 29,868 and 44,116.50

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Solution

The third proportional to 29,868 and 44,116.50 is: 65,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868 : 44,116.50 = 44,116.50 : x
  2. Step 2: Convert to fraction form
    29,868/44,116.50 = 44,116.50/x
  3. Step 3: Cross multiply
    29,868x = 44,116.50 × 44,116.50
  4. Step 4: Simplify right side
    29,868x = 1,946,265,572.25
  5. Step 5: Solve for x
    x = 1,946,265,572.25/29,868
  6. Step 6: Final answer
    x = 65,162.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.