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Finding the Third Proportional to 32,143 and 46,958

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Solution

The third proportional to 32,143 and 46,958 is: 68,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143 : 46,958 = 46,958 : x
  2. Step 2: Convert to fraction form
    32,143/46,958 = 46,958/x
  3. Step 3: Cross multiply
    32,143x = 46,958 × 46,958
  4. Step 4: Simplify right side
    32,143x = 2,205,053,764
  5. Step 5: Solve for x
    x = 2,205,053,764/32,143
  6. Step 6: Final answer
    x = 68,601.37

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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.