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Finding the Third Proportional to 24,309 and 52,407

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Solution

The third proportional to 24,309 and 52,407 is: 112,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309 : 52,407 = 52,407 : x
  2. Step 2: Convert to fraction form
    24,309/52,407 = 52,407/x
  3. Step 3: Cross multiply
    24,309x = 52,407 × 52,407
  4. Step 4: Simplify right side
    24,309x = 2,746,493,649
  5. Step 5: Solve for x
    x = 2,746,493,649/24,309
  6. Step 6: Final answer
    x = 112,982.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.