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Finding the Third Proportional to 32,019 and 46,990

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Solution

The third proportional to 32,019 and 46,990 is: 68,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019 : 46,990 = 46,990 : x
  2. Step 2: Convert to fraction form
    32,019/46,990 = 46,990/x
  3. Step 3: Cross multiply
    32,019x = 46,990 × 46,990
  4. Step 4: Simplify right side
    32,019x = 2,208,060,100
  5. Step 5: Solve for x
    x = 2,208,060,100/32,019
  6. Step 6: Final answer
    x = 68,960.93

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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.