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Finding the Third Proportional to 21,590 and 46,972

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Solution

The third proportional to 21,590 and 46,972 is: 102,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590 : 46,972 = 46,972 : x
  2. Step 2: Convert to fraction form
    21,590/46,972 = 46,972/x
  3. Step 3: Cross multiply
    21,590x = 46,972 × 46,972
  4. Step 4: Simplify right side
    21,590x = 2,206,368,784
  5. Step 5: Solve for x
    x = 2,206,368,784/21,590
  6. Step 6: Final answer
    x = 102,194.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.