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Finding the Third Proportional to 25,760 and 54,335

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Solution

The third proportional to 25,760 and 54,335 is: 114,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 54,335 = 54,335 : x
  2. Step 2: Convert to fraction form
    25,760/54,335 = 54,335/x
  3. Step 3: Cross multiply
    25,760x = 54,335 × 54,335
  4. Step 4: Simplify right side
    25,760x = 2,952,292,225
  5. Step 5: Solve for x
    x = 2,952,292,225/25,760
  6. Step 6: Final answer
    x = 114,607.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.