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Finding the Third Proportional to 32,184 and 46,611

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Solution

The third proportional to 32,184 and 46,611 is: 67,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184 : 46,611 = 46,611 : x
  2. Step 2: Convert to fraction form
    32,184/46,611 = 46,611/x
  3. Step 3: Cross multiply
    32,184x = 46,611 × 46,611
  4. Step 4: Simplify right side
    32,184x = 2,172,585,321
  5. Step 5: Solve for x
    x = 2,172,585,321/32,184
  6. Step 6: Final answer
    x = 67,505.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.