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Finding the Third Proportional to 29,016 and 43,416

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Solution

The third proportional to 29,016 and 43,416 is: 64,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,016 : 43,416 = 43,416 : x
  2. Step 2: Convert to fraction form
    29,016/43,416 = 43,416/x
  3. Step 3: Cross multiply
    29,016x = 43,416 × 43,416
  4. Step 4: Simplify right side
    29,016x = 1,884,949,056
  5. Step 5: Solve for x
    x = 1,884,949,056/29,016
  6. Step 6: Final answer
    x = 64,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.