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Finding the Third Proportional to 32,677 and 46,015

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Solution

The third proportional to 32,677 and 46,015 is: 64,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677 : 46,015 = 46,015 : x
  2. Step 2: Convert to fraction form
    32,677/46,015 = 46,015/x
  3. Step 3: Cross multiply
    32,677x = 46,015 × 46,015
  4. Step 4: Simplify right side
    32,677x = 2,117,380,225
  5. Step 5: Solve for x
    x = 2,117,380,225/32,677
  6. Step 6: Final answer
    x = 64,797.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.