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Finding the Third Proportional to 21,632 and 46,394

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Solution

The third proportional to 21,632 and 46,394 is: 99,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632 : 46,394 = 46,394 : x
  2. Step 2: Convert to fraction form
    21,632/46,394 = 46,394/x
  3. Step 3: Cross multiply
    21,632x = 46,394 × 46,394
  4. Step 4: Simplify right side
    21,632x = 2,152,403,236
  5. Step 5: Solve for x
    x = 2,152,403,236/21,632
  6. Step 6: Final answer
    x = 99,500.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.