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Finding the Third Proportional to 26,358 and 57,900

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Solution

The third proportional to 26,358 and 57,900 is: 127,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 57,900 = 57,900 : x
  2. Step 2: Convert to fraction form
    26,358/57,900 = 57,900/x
  3. Step 3: Cross multiply
    26,358x = 57,900 × 57,900
  4. Step 4: Simplify right side
    26,358x = 3,352,410,000
  5. Step 5: Solve for x
    x = 3,352,410,000/26,358
  6. Step 6: Final answer
    x = 127,187.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.