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Finding the Third Proportional to 26,416 and 55,046

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Solution

The third proportional to 26,416 and 55,046 is: 114,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416 : 55,046 = 55,046 : x
  2. Step 2: Convert to fraction form
    26,416/55,046 = 55,046/x
  3. Step 3: Cross multiply
    26,416x = 55,046 × 55,046
  4. Step 4: Simplify right side
    26,416x = 3,030,062,116
  5. Step 5: Solve for x
    x = 3,030,062,116/26,416
  6. Step 6: Final answer
    x = 114,705.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.