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Finding the Third Proportional to 29,583 and 64,089

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Solution

The third proportional to 29,583 and 64,089 is: 138,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583 : 64,089 = 64,089 : x
  2. Step 2: Convert to fraction form
    29,583/64,089 = 64,089/x
  3. Step 3: Cross multiply
    29,583x = 64,089 × 64,089
  4. Step 4: Simplify right side
    29,583x = 4,107,399,921
  5. Step 5: Solve for x
    x = 4,107,399,921/29,583
  6. Step 6: Final answer
    x = 138,843.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.