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Finding the Third Proportional to 27,563 and 43,702

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Solution

The third proportional to 27,563 and 43,702 is: 69,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563 : 43,702 = 43,702 : x
  2. Step 2: Convert to fraction form
    27,563/43,702 = 43,702/x
  3. Step 3: Cross multiply
    27,563x = 43,702 × 43,702
  4. Step 4: Simplify right side
    27,563x = 1,909,864,804
  5. Step 5: Solve for x
    x = 1,909,864,804/27,563
  6. Step 6: Final answer
    x = 69,290.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.