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Finding the Third Proportional to 5,783.06 and 10,972.13

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Solution

The third proportional to 5,783.06 and 10,972.13 is: 20,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.06 : 10,972.13 = 10,972.13 : x
  2. Step 2: Convert to fraction form
    5,783.06/10,972.13 = 10,972.13/x
  3. Step 3: Cross multiply
    5,783.06x = 10,972.13 × 10,972.13
  4. Step 4: Simplify right side
    5,783.06x = 120,387,527.02
  5. Step 5: Solve for x
    x = 120,387,527.02/5,783.06
  6. Step 6: Final answer
    x = 20,817.26

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.