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Finding the Third Proportional to 29,976 and 64,326

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Solution

The third proportional to 29,976 and 64,326 is: 138,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 64,326 = 64,326 : x
  2. Step 2: Convert to fraction form
    29,976/64,326 = 64,326/x
  3. Step 3: Cross multiply
    29,976x = 64,326 × 64,326
  4. Step 4: Simplify right side
    29,976x = 4,137,834,276
  5. Step 5: Solve for x
    x = 4,137,834,276/29,976
  6. Step 6: Final answer
    x = 138,038.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.