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Finding the Third Proportional to 32,171 and 46,411

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Solution

The third proportional to 32,171 and 46,411 is: 66,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171 : 46,411 = 46,411 : x
  2. Step 2: Convert to fraction form
    32,171/46,411 = 46,411/x
  3. Step 3: Cross multiply
    32,171x = 46,411 × 46,411
  4. Step 4: Simplify right side
    32,171x = 2,153,980,921
  5. Step 5: Solve for x
    x = 2,153,980,921/32,171
  6. Step 6: Final answer
    x = 66,954.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.