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Finding the Third Proportional to 35,643 and 56,063

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Solution

The third proportional to 35,643 and 56,063 is: 88,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643 : 56,063 = 56,063 : x
  2. Step 2: Convert to fraction form
    35,643/56,063 = 56,063/x
  3. Step 3: Cross multiply
    35,643x = 56,063 × 56,063
  4. Step 4: Simplify right side
    35,643x = 3,143,059,969
  5. Step 5: Solve for x
    x = 3,143,059,969/35,643
  6. Step 6: Final answer
    x = 88,181.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.