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Finding the Third Proportional to 11,309 and 24,565

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Solution

The third proportional to 11,309 and 24,565 is: 53,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309 : 24,565 = 24,565 : x
  2. Step 2: Convert to fraction form
    11,309/24,565 = 24,565/x
  3. Step 3: Cross multiply
    11,309x = 24,565 × 24,565
  4. Step 4: Simplify right side
    11,309x = 603,439,225
  5. Step 5: Solve for x
    x = 603,439,225/11,309
  6. Step 6: Final answer
    x = 53,359.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.