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Finding the Third Proportional to 35,692 and 46,946

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Solution

The third proportional to 35,692 and 46,946 is: 61,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692 : 46,946 = 46,946 : x
  2. Step 2: Convert to fraction form
    35,692/46,946 = 46,946/x
  3. Step 3: Cross multiply
    35,692x = 46,946 × 46,946
  4. Step 4: Simplify right side
    35,692x = 2,203,926,916
  5. Step 5: Solve for x
    x = 2,203,926,916/35,692
  6. Step 6: Final answer
    x = 61,748.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.