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Finding the Third Proportional to 10,756.90 and 23,300.86

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Solution

The third proportional to 10,756.90 and 23,300.86 is: 50,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.90 : 23,300.86 = 23,300.86 : x
  2. Step 2: Convert to fraction form
    10,756.90/23,300.86 = 23,300.86/x
  3. Step 3: Cross multiply
    10,756.90x = 23,300.86 × 23,300.86
  4. Step 4: Simplify right side
    10,756.90x = 542,930,047.61
  5. Step 5: Solve for x
    x = 542,930,047.61/10,756.90
  6. Step 6: Final answer
    x = 50,472.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.