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Finding the Third Proportional to 25,210 and 52,999

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Solution

The third proportional to 25,210 and 52,999 is: 111,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210 : 52,999 = 52,999 : x
  2. Step 2: Convert to fraction form
    25,210/52,999 = 52,999/x
  3. Step 3: Cross multiply
    25,210x = 52,999 × 52,999
  4. Step 4: Simplify right side
    25,210x = 2,808,894,001
  5. Step 5: Solve for x
    x = 2,808,894,001/25,210
  6. Step 6: Final answer
    x = 111,419.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.