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Finding the Third Proportional to 26,709.75 and 63,054

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Solution

The third proportional to 26,709.75 and 63,054 is: 148,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,709.75 : 63,054 = 63,054 : x
  2. Step 2: Convert to fraction form
    26,709.75/63,054 = 63,054/x
  3. Step 3: Cross multiply
    26,709.75x = 63,054 × 63,054
  4. Step 4: Simplify right side
    26,709.75x = 3,975,806,916
  5. Step 5: Solve for x
    x = 3,975,806,916/26,709.75
  6. Step 6: Final answer
    x = 148,852.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.