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Finding the Third Proportional to 14,534 and 30,970

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Solution

The third proportional to 14,534 and 30,970 is: 65,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534 : 30,970 = 30,970 : x
  2. Step 2: Convert to fraction form
    14,534/30,970 = 30,970/x
  3. Step 3: Cross multiply
    14,534x = 30,970 × 30,970
  4. Step 4: Simplify right side
    14,534x = 959,140,900
  5. Step 5: Solve for x
    x = 959,140,900/14,534
  6. Step 6: Final answer
    x = 65,992.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.