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Finding the Third Proportional to 43,610 and 63,857

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Solution

The third proportional to 43,610 and 63,857 is: 93,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,610 : 63,857 = 63,857 : x
  2. Step 2: Convert to fraction form
    43,610/63,857 = 63,857/x
  3. Step 3: Cross multiply
    43,610x = 63,857 × 63,857
  4. Step 4: Simplify right side
    43,610x = 4,077,716,449
  5. Step 5: Solve for x
    x = 4,077,716,449/43,610
  6. Step 6: Final answer
    x = 93,504.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.