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Finding the Third Proportional to 29,012 and 43,410

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Solution

The third proportional to 29,012 and 43,410 is: 64,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,012 : 43,410 = 43,410 : x
  2. Step 2: Convert to fraction form
    29,012/43,410 = 43,410/x
  3. Step 3: Cross multiply
    29,012x = 43,410 × 43,410
  4. Step 4: Simplify right side
    29,012x = 1,884,428,100
  5. Step 5: Solve for x
    x = 1,884,428,100/29,012
  6. Step 6: Final answer
    x = 64,953.40

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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.