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Finding the Third Proportional to 25,308 and 54,501.75

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Solution

The third proportional to 25,308 and 54,501.75 is: 117,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308 : 54,501.75 = 54,501.75 : x
  2. Step 2: Convert to fraction form
    25,308/54,501.75 = 54,501.75/x
  3. Step 3: Cross multiply
    25,308x = 54,501.75 × 54,501.75
  4. Step 4: Simplify right side
    25,308x = 2,970,440,753.06
  5. Step 5: Solve for x
    x = 2,970,440,753.06/25,308
  6. Step 6: Final answer
    x = 117,371.61

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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.