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Finding the Third Proportional to 35,068 and 46,996

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Solution

The third proportional to 35,068 and 46,996 is: 62,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,068 : 46,996 = 46,996 : x
  2. Step 2: Convert to fraction form
    35,068/46,996 = 46,996/x
  3. Step 3: Cross multiply
    35,068x = 46,996 × 46,996
  4. Step 4: Simplify right side
    35,068x = 2,208,624,016
  5. Step 5: Solve for x
    x = 2,208,624,016/35,068
  6. Step 6: Final answer
    x = 62,981.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.