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Finding the Third Proportional to 26,964 and 56,080

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Solution

The third proportional to 26,964 and 56,080 is: 116,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964 : 56,080 = 56,080 : x
  2. Step 2: Convert to fraction form
    26,964/56,080 = 56,080/x
  3. Step 3: Cross multiply
    26,964x = 56,080 × 56,080
  4. Step 4: Simplify right side
    26,964x = 3,144,966,400
  5. Step 5: Solve for x
    x = 3,144,966,400/26,964
  6. Step 6: Final answer
    x = 116,635.75

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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.