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Finding the Third Proportional to 23,157.38 and 47,407.13

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Solution

The third proportional to 23,157.38 and 47,407.13 is: 97,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.38 : 47,407.13 = 47,407.13 : x
  2. Step 2: Convert to fraction form
    23,157.38/47,407.13 = 47,407.13/x
  3. Step 3: Cross multiply
    23,157.38x = 47,407.13 × 47,407.13
  4. Step 4: Simplify right side
    23,157.38x = 2,247,435,500.77
  5. Step 5: Solve for x
    x = 2,247,435,500.77/23,157.38
  6. Step 6: Final answer
    x = 97,050.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.