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Finding the Third Proportional to 10,780.59 and 23,292.56

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Solution

The third proportional to 10,780.59 and 23,292.56 is: 50,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.59 : 23,292.56 = 23,292.56 : x
  2. Step 2: Convert to fraction form
    10,780.59/23,292.56 = 23,292.56/x
  3. Step 3: Cross multiply
    10,780.59x = 23,292.56 × 23,292.56
  4. Step 4: Simplify right side
    10,780.59x = 542,543,467.82
  5. Step 5: Solve for x
    x = 542,543,467.82/10,780.59
  6. Step 6: Final answer
    x = 50,325.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.