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Finding the Third Proportional to 32,004 and 40,280

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Solution

The third proportional to 32,004 and 40,280 is: 50,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 40,280 = 40,280 : x
  2. Step 2: Convert to fraction form
    32,004/40,280 = 40,280/x
  3. Step 3: Cross multiply
    32,004x = 40,280 × 40,280
  4. Step 4: Simplify right side
    32,004x = 1,622,478,400
  5. Step 5: Solve for x
    x = 1,622,478,400/32,004
  6. Step 6: Final answer
    x = 50,696.11

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.