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Finding the Third Proportional to 46,996 and 63,796

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Solution

The third proportional to 46,996 and 63,796 is: 86,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 63,796 = 63,796 : x
  2. Step 2: Convert to fraction form
    46,996/63,796 = 63,796/x
  3. Step 3: Cross multiply
    46,996x = 63,796 × 63,796
  4. Step 4: Simplify right side
    46,996x = 4,069,929,616
  5. Step 5: Solve for x
    x = 4,069,929,616/46,996
  6. Step 6: Final answer
    x = 86,601.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.