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Finding the Third Proportional to 23,500.13 and 47,818.69

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Solution

The third proportional to 23,500.13 and 47,818.69 is: 97,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.13 : 47,818.69 = 47,818.69 : x
  2. Step 2: Convert to fraction form
    23,500.13/47,818.69 = 47,818.69/x
  3. Step 3: Cross multiply
    23,500.13x = 47,818.69 × 47,818.69
  4. Step 4: Simplify right side
    23,500.13x = 2,286,626,874.22
  5. Step 5: Solve for x
    x = 2,286,626,874.22/23,500.13
  6. Step 6: Final answer
    x = 97,302.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.