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Finding the Third Proportional to 23,715 and 33,365

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Solution

The third proportional to 23,715 and 33,365 is: 46,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,715 : 33,365 = 33,365 : x
  2. Step 2: Convert to fraction form
    23,715/33,365 = 33,365/x
  3. Step 3: Cross multiply
    23,715x = 33,365 × 33,365
  4. Step 4: Simplify right side
    23,715x = 1,113,223,225
  5. Step 5: Solve for x
    x = 1,113,223,225/23,715
  6. Step 6: Final answer
    x = 46,941.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.