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Finding the Third Proportional to 30,737.81 and 46,999.41

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Solution

The third proportional to 30,737.81 and 46,999.41 is: 71,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.81 : 46,999.41 = 46,999.41 : x
  2. Step 2: Convert to fraction form
    30,737.81/46,999.41 = 46,999.41/x
  3. Step 3: Cross multiply
    30,737.81x = 46,999.41 × 46,999.41
  4. Step 4: Simplify right side
    30,737.81x = 2,208,944,187.85
  5. Step 5: Solve for x
    x = 2,208,944,187.85/30,737.81
  6. Step 6: Final answer
    x = 71,864.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.