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Finding the Third Proportional to 30,111 and 44,299.50

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Solution

The third proportional to 30,111 and 44,299.50 is: 65,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111 : 44,299.50 = 44,299.50 : x
  2. Step 2: Convert to fraction form
    30,111/44,299.50 = 44,299.50/x
  3. Step 3: Cross multiply
    30,111x = 44,299.50 × 44,299.50
  4. Step 4: Simplify right side
    30,111x = 1,962,445,700.25
  5. Step 5: Solve for x
    x = 1,962,445,700.25/30,111
  6. Step 6: Final answer
    x = 65,173.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.