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Finding the Third Proportional to 26,419 and 56,534

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Solution

The third proportional to 26,419 and 56,534 is: 120,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,419 : 56,534 = 56,534 : x
  2. Step 2: Convert to fraction form
    26,419/56,534 = 56,534/x
  3. Step 3: Cross multiply
    26,419x = 56,534 × 56,534
  4. Step 4: Simplify right side
    26,419x = 3,196,093,156
  5. Step 5: Solve for x
    x = 3,196,093,156/26,419
  6. Step 6: Final answer
    x = 120,977.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.