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Finding the Third Proportional to 25,071 and 52,209

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Solution

The third proportional to 25,071 and 52,209 is: 108,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,071 : 52,209 = 52,209 : x
  2. Step 2: Convert to fraction form
    25,071/52,209 = 52,209/x
  3. Step 3: Cross multiply
    25,071x = 52,209 × 52,209
  4. Step 4: Simplify right side
    25,071x = 2,725,779,681
  5. Step 5: Solve for x
    x = 2,725,779,681/25,071
  6. Step 6: Final answer
    x = 108,722.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.