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Finding the Third Proportional to 25,765 and 54,905

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Solution

The third proportional to 25,765 and 54,905 is: 117,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765 : 54,905 = 54,905 : x
  2. Step 2: Convert to fraction form
    25,765/54,905 = 54,905/x
  3. Step 3: Cross multiply
    25,765x = 54,905 × 54,905
  4. Step 4: Simplify right side
    25,765x = 3,014,559,025
  5. Step 5: Solve for x
    x = 3,014,559,025/25,765
  6. Step 6: Final answer
    x = 117,002.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.