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Finding the Third Proportional to 32,015 and 46,252

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Solution

The third proportional to 32,015 and 46,252 is: 66,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015 : 46,252 = 46,252 : x
  2. Step 2: Convert to fraction form
    32,015/46,252 = 46,252/x
  3. Step 3: Cross multiply
    32,015x = 46,252 × 46,252
  4. Step 4: Simplify right side
    32,015x = 2,139,247,504
  5. Step 5: Solve for x
    x = 2,139,247,504/32,015
  6. Step 6: Final answer
    x = 66,820.16

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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.