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Finding the Third Proportional to 21,488 and 46,654

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Solution

The third proportional to 21,488 and 46,654 is: 101,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488 : 46,654 = 46,654 : x
  2. Step 2: Convert to fraction form
    21,488/46,654 = 46,654/x
  3. Step 3: Cross multiply
    21,488x = 46,654 × 46,654
  4. Step 4: Simplify right side
    21,488x = 2,176,595,716
  5. Step 5: Solve for x
    x = 2,176,595,716/21,488
  6. Step 6: Final answer
    x = 101,293.55

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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.