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Finding the Third Proportional to 46,824 and 101,424

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Solution

The third proportional to 46,824 and 101,424 is: 219,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824 : 101,424 = 101,424 : x
  2. Step 2: Convert to fraction form
    46,824/101,424 = 101,424/x
  3. Step 3: Cross multiply
    46,824x = 101,424 × 101,424
  4. Step 4: Simplify right side
    46,824x = 10,286,827,776
  5. Step 5: Solve for x
    x = 10,286,827,776/46,824
  6. Step 6: Final answer
    x = 219,691.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.