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Finding the Third Proportional to 25,719 and 54,598

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Solution

The third proportional to 25,719 and 54,598 is: 115,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,719 : 54,598 = 54,598 : x
  2. Step 2: Convert to fraction form
    25,719/54,598 = 54,598/x
  3. Step 3: Cross multiply
    25,719x = 54,598 × 54,598
  4. Step 4: Simplify right side
    25,719x = 2,980,941,604
  5. Step 5: Solve for x
    x = 2,980,941,604/25,719
  6. Step 6: Final answer
    x = 115,904.26

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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.