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Finding the Third Proportional to 26,478 and 58,014

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Solution

The third proportional to 26,478 and 58,014 is: 127,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 58,014 = 58,014 : x
  2. Step 2: Convert to fraction form
    26,478/58,014 = 58,014/x
  3. Step 3: Cross multiply
    26,478x = 58,014 × 58,014
  4. Step 4: Simplify right side
    26,478x = 3,365,624,196
  5. Step 5: Solve for x
    x = 3,365,624,196/26,478
  6. Step 6: Final answer
    x = 127,110.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.