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Finding the Third Proportional to 30,324 and 44,133

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Solution

The third proportional to 30,324 and 44,133 is: 64,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324 : 44,133 = 44,133 : x
  2. Step 2: Convert to fraction form
    30,324/44,133 = 44,133/x
  3. Step 3: Cross multiply
    30,324x = 44,133 × 44,133
  4. Step 4: Simplify right side
    30,324x = 1,947,721,689
  5. Step 5: Solve for x
    x = 1,947,721,689/30,324
  6. Step 6: Final answer
    x = 64,230.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.