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Finding the Third Proportional to 29,889 and 64,071

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Solution

The third proportional to 29,889 and 64,071 is: 137,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,889 : 64,071 = 64,071 : x
  2. Step 2: Convert to fraction form
    29,889/64,071 = 64,071/x
  3. Step 3: Cross multiply
    29,889x = 64,071 × 64,071
  4. Step 4: Simplify right side
    29,889x = 4,105,093,041
  5. Step 5: Solve for x
    x = 4,105,093,041/29,889
  6. Step 6: Final answer
    x = 137,344.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.