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Finding the Third Proportional to 23,592 and 34,417

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Solution

The third proportional to 23,592 and 34,417 is: 50,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592 : 34,417 = 34,417 : x
  2. Step 2: Convert to fraction form
    23,592/34,417 = 34,417/x
  3. Step 3: Cross multiply
    23,592x = 34,417 × 34,417
  4. Step 4: Simplify right side
    23,592x = 1,184,529,889
  5. Step 5: Solve for x
    x = 1,184,529,889/23,592
  6. Step 6: Final answer
    x = 50,208.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.