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Finding the Third Proportional to 29,420 and 45,004

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Solution

The third proportional to 29,420 and 45,004 is: 68,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,420 : 45,004 = 45,004 : x
  2. Step 2: Convert to fraction form
    29,420/45,004 = 45,004/x
  3. Step 3: Cross multiply
    29,420x = 45,004 × 45,004
  4. Step 4: Simplify right side
    29,420x = 2,025,360,016
  5. Step 5: Solve for x
    x = 2,025,360,016/29,420
  6. Step 6: Final answer
    x = 68,842.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.