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Finding the Third Proportional to 10,409.13 and 22,116.80

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Solution

The third proportional to 10,409.13 and 22,116.80 is: 46,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.13 : 22,116.80 = 22,116.80 : x
  2. Step 2: Convert to fraction form
    10,409.13/22,116.80 = 22,116.80/x
  3. Step 3: Cross multiply
    10,409.13x = 22,116.80 × 22,116.80
  4. Step 4: Simplify right side
    10,409.13x = 489,152,704.01
  5. Step 5: Solve for x
    x = 489,152,704.01/10,409.13
  6. Step 6: Final answer
    x = 46,992.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.