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Finding the Third Proportional to 29,904 and 43,464

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Solution

The third proportional to 29,904 and 43,464 is: 63,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 43,464 = 43,464 : x
  2. Step 2: Convert to fraction form
    29,904/43,464 = 43,464/x
  3. Step 3: Cross multiply
    29,904x = 43,464 × 43,464
  4. Step 4: Simplify right side
    29,904x = 1,889,119,296
  5. Step 5: Solve for x
    x = 1,889,119,296/29,904
  6. Step 6: Final answer
    x = 63,172.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.