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Finding the Third Proportional to 25,746 and 53,146

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Solution

The third proportional to 25,746 and 53,146 is: 109,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,746 : 53,146 = 53,146 : x
  2. Step 2: Convert to fraction form
    25,746/53,146 = 53,146/x
  3. Step 3: Cross multiply
    25,746x = 53,146 × 53,146
  4. Step 4: Simplify right side
    25,746x = 2,824,497,316
  5. Step 5: Solve for x
    x = 2,824,497,316/25,746
  6. Step 6: Final answer
    x = 109,706.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.