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Finding the Third Proportional to 24,828 and 52,209

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Solution

The third proportional to 24,828 and 52,209 is: 109,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828 : 52,209 = 52,209 : x
  2. Step 2: Convert to fraction form
    24,828/52,209 = 52,209/x
  3. Step 3: Cross multiply
    24,828x = 52,209 × 52,209
  4. Step 4: Simplify right side
    24,828x = 2,725,779,681
  5. Step 5: Solve for x
    x = 2,725,779,681/24,828
  6. Step 6: Final answer
    x = 109,786.52

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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.