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Finding the Third Proportional to 25,274 and 54,709

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Solution

The third proportional to 25,274 and 54,709 is: 118,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274 : 54,709 = 54,709 : x
  2. Step 2: Convert to fraction form
    25,274/54,709 = 54,709/x
  3. Step 3: Cross multiply
    25,274x = 54,709 × 54,709
  4. Step 4: Simplify right side
    25,274x = 2,993,074,681
  5. Step 5: Solve for x
    x = 2,993,074,681/25,274
  6. Step 6: Final answer
    x = 118,425.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.