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Finding the Third Proportional to 25,184 and 54,784

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Solution

The third proportional to 25,184 and 54,784 is: 119,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184 : 54,784 = 54,784 : x
  2. Step 2: Convert to fraction form
    25,184/54,784 = 54,784/x
  3. Step 3: Cross multiply
    25,184x = 54,784 × 54,784
  4. Step 4: Simplify right side
    25,184x = 3,001,286,656
  5. Step 5: Solve for x
    x = 3,001,286,656/25,184
  6. Step 6: Final answer
    x = 119,174.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.