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Finding the Third Proportional to 30,976 and 46,534

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Solution

The third proportional to 30,976 and 46,534 is: 69,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976 : 46,534 = 46,534 : x
  2. Step 2: Convert to fraction form
    30,976/46,534 = 46,534/x
  3. Step 3: Cross multiply
    30,976x = 46,534 × 46,534
  4. Step 4: Simplify right side
    30,976x = 2,165,413,156
  5. Step 5: Solve for x
    x = 2,165,413,156/30,976
  6. Step 6: Final answer
    x = 69,906.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.