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Finding the Third Proportional to 25,830 and 54,768

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Solution

The third proportional to 25,830 and 54,768 is: 116,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830 : 54,768 = 54,768 : x
  2. Step 2: Convert to fraction form
    25,830/54,768 = 54,768/x
  3. Step 3: Cross multiply
    25,830x = 54,768 × 54,768
  4. Step 4: Simplify right side
    25,830x = 2,999,533,824
  5. Step 5: Solve for x
    x = 2,999,533,824/25,830
  6. Step 6: Final answer
    x = 116,125.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.