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Finding the Third Proportional to 29,846 and 64,964

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Solution

The third proportional to 29,846 and 64,964 is: 141,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846 : 64,964 = 64,964 : x
  2. Step 2: Convert to fraction form
    29,846/64,964 = 64,964/x
  3. Step 3: Cross multiply
    29,846x = 64,964 × 64,964
  4. Step 4: Simplify right side
    29,846x = 4,220,321,296
  5. Step 5: Solve for x
    x = 4,220,321,296/29,846
  6. Step 6: Final answer
    x = 141,403.25

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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.