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Finding the Third Proportional to 25,684 and 55,240

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Solution

The third proportional to 25,684 and 55,240 is: 118,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,684 : 55,240 = 55,240 : x
  2. Step 2: Convert to fraction form
    25,684/55,240 = 55,240/x
  3. Step 3: Cross multiply
    25,684x = 55,240 × 55,240
  4. Step 4: Simplify right side
    25,684x = 3,051,457,600
  5. Step 5: Solve for x
    x = 3,051,457,600/25,684
  6. Step 6: Final answer
    x = 118,807.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.