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Finding the Third Proportional to 29,646 and 64,455.75

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Solution

The third proportional to 29,646 and 64,455.75 is: 140,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 64,455.75 = 64,455.75 : x
  2. Step 2: Convert to fraction form
    29,646/64,455.75 = 64,455.75/x
  3. Step 3: Cross multiply
    29,646x = 64,455.75 × 64,455.75
  4. Step 4: Simplify right side
    29,646x = 4,154,543,708.06
  5. Step 5: Solve for x
    x = 4,154,543,708.06/29,646
  6. Step 6: Final answer
    x = 140,138.42

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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.