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Finding the Third Proportional to 26,189 and 56,527

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Solution

The third proportional to 26,189 and 56,527 is: 122,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,189 : 56,527 = 56,527 : x
  2. Step 2: Convert to fraction form
    26,189/56,527 = 56,527/x
  3. Step 3: Cross multiply
    26,189x = 56,527 × 56,527
  4. Step 4: Simplify right side
    26,189x = 3,195,301,729
  5. Step 5: Solve for x
    x = 3,195,301,729/26,189
  6. Step 6: Final answer
    x = 122,009.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.