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Finding the Third Proportional to 29,697 and 64,036

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Solution

The third proportional to 29,697 and 64,036 is: 138,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697 : 64,036 = 64,036 : x
  2. Step 2: Convert to fraction form
    29,697/64,036 = 64,036/x
  3. Step 3: Cross multiply
    29,697x = 64,036 × 64,036
  4. Step 4: Simplify right side
    29,697x = 4,100,609,296
  5. Step 5: Solve for x
    x = 4,100,609,296/29,697
  6. Step 6: Final answer
    x = 138,081.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.