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Finding the Third Proportional to 29,852 and 64,976

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Solution

The third proportional to 29,852 and 64,976 is: 141,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852 : 64,976 = 64,976 : x
  2. Step 2: Convert to fraction form
    29,852/64,976 = 64,976/x
  3. Step 3: Cross multiply
    29,852x = 64,976 × 64,976
  4. Step 4: Simplify right side
    29,852x = 4,221,880,576
  5. Step 5: Solve for x
    x = 4,221,880,576/29,852
  6. Step 6: Final answer
    x = 141,427.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.