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Finding the Third Proportional to 29,573 and 64,609

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Solution

The third proportional to 29,573 and 64,609 is: 141,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573 : 64,609 = 64,609 : x
  2. Step 2: Convert to fraction form
    29,573/64,609 = 64,609/x
  3. Step 3: Cross multiply
    29,573x = 64,609 × 64,609
  4. Step 4: Simplify right side
    29,573x = 4,174,322,881
  5. Step 5: Solve for x
    x = 4,174,322,881/29,573
  6. Step 6: Final answer
    x = 141,153.18

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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.