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Finding the Third Proportional to 29,557 and 64,035

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Solution

The third proportional to 29,557 and 64,035 is: 138,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,557 : 64,035 = 64,035 : x
  2. Step 2: Convert to fraction form
    29,557/64,035 = 64,035/x
  3. Step 3: Cross multiply
    29,557x = 64,035 × 64,035
  4. Step 4: Simplify right side
    29,557x = 4,100,481,225
  5. Step 5: Solve for x
    x = 4,100,481,225/29,557
  6. Step 6: Final answer
    x = 138,731.31

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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.