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Finding the Third Proportional to 26,435 and 56,713

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Solution

The third proportional to 26,435 and 56,713 is: 121,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,435 : 56,713 = 56,713 : x
  2. Step 2: Convert to fraction form
    26,435/56,713 = 56,713/x
  3. Step 3: Cross multiply
    26,435x = 56,713 × 56,713
  4. Step 4: Simplify right side
    26,435x = 3,216,364,369
  5. Step 5: Solve for x
    x = 3,216,364,369/26,435
  6. Step 6: Final answer
    x = 121,670.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.