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Finding the Third Proportional to 26,337 and 56,365

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Solution

The third proportional to 26,337 and 56,365 is: 120,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,337 : 56,365 = 56,365 : x
  2. Step 2: Convert to fraction form
    26,337/56,365 = 56,365/x
  3. Step 3: Cross multiply
    26,337x = 56,365 × 56,365
  4. Step 4: Simplify right side
    26,337x = 3,177,013,225
  5. Step 5: Solve for x
    x = 3,177,013,225/26,337
  6. Step 6: Final answer
    x = 120,629.28

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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.