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Finding the Third Proportional to 32,004 and 66,055

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Solution

The third proportional to 32,004 and 66,055 is: 136,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 66,055 = 66,055 : x
  2. Step 2: Convert to fraction form
    32,004/66,055 = 66,055/x
  3. Step 3: Cross multiply
    32,004x = 66,055 × 66,055
  4. Step 4: Simplify right side
    32,004x = 4,363,263,025
  5. Step 5: Solve for x
    x = 4,363,263,025/32,004
  6. Step 6: Final answer
    x = 136,334.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.