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Finding the Third Proportional to 25,398 and 58,789

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Solution

The third proportional to 25,398 and 58,789 is: 136,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398 : 58,789 = 58,789 : x
  2. Step 2: Convert to fraction form
    25,398/58,789 = 58,789/x
  3. Step 3: Cross multiply
    25,398x = 58,789 × 58,789
  4. Step 4: Simplify right side
    25,398x = 3,456,146,521
  5. Step 5: Solve for x
    x = 3,456,146,521/25,398
  6. Step 6: Final answer
    x = 136,079.48

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.