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Finding the Third Proportional to 25,620 and 53,016

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Solution

The third proportional to 25,620 and 53,016 is: 109,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 53,016 = 53,016 : x
  2. Step 2: Convert to fraction form
    25,620/53,016 = 53,016/x
  3. Step 3: Cross multiply
    25,620x = 53,016 × 53,016
  4. Step 4: Simplify right side
    25,620x = 2,810,696,256
  5. Step 5: Solve for x
    x = 2,810,696,256/25,620
  6. Step 6: Final answer
    x = 109,707.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.