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Finding the Third Proportional to 24,207 and 52,435

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Solution

The third proportional to 24,207 and 52,435 is: 113,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207 : 52,435 = 52,435 : x
  2. Step 2: Convert to fraction form
    24,207/52,435 = 52,435/x
  3. Step 3: Cross multiply
    24,207x = 52,435 × 52,435
  4. Step 4: Simplify right side
    24,207x = 2,749,429,225
  5. Step 5: Solve for x
    x = 2,749,429,225/24,207
  6. Step 6: Final answer
    x = 113,579.92

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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.