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Finding the Third Proportional to 46,824 and 102,970

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Solution

The third proportional to 46,824 and 102,970 is: 226,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824 : 102,970 = 102,970 : x
  2. Step 2: Convert to fraction form
    46,824/102,970 = 102,970/x
  3. Step 3: Cross multiply
    46,824x = 102,970 × 102,970
  4. Step 4: Simplify right side
    46,824x = 10,602,820,900
  5. Step 5: Solve for x
    x = 10,602,820,900/46,824
  6. Step 6: Final answer
    x = 226,439.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.