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Finding the Third Proportional to 29,610 and 43,964

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Solution

The third proportional to 29,610 and 43,964 is: 65,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,610 : 43,964 = 43,964 : x
  2. Step 2: Convert to fraction form
    29,610/43,964 = 43,964/x
  3. Step 3: Cross multiply
    29,610x = 43,964 × 43,964
  4. Step 4: Simplify right side
    29,610x = 1,932,833,296
  5. Step 5: Solve for x
    x = 1,932,833,296/29,610
  6. Step 6: Final answer
    x = 65,276.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.