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Finding the Third Proportional to 29,964 and 65,211

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Solution

The third proportional to 29,964 and 65,211 is: 141,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964 : 65,211 = 65,211 : x
  2. Step 2: Convert to fraction form
    29,964/65,211 = 65,211/x
  3. Step 3: Cross multiply
    29,964x = 65,211 × 65,211
  4. Step 4: Simplify right side
    29,964x = 4,252,474,521
  5. Step 5: Solve for x
    x = 4,252,474,521/29,964
  6. Step 6: Final answer
    x = 141,919.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.