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Finding the Third Proportional to 20,307 and 48,920.50

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Solution

The third proportional to 20,307 and 48,920.50 is: 117,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307 : 48,920.50 = 48,920.50 : x
  2. Step 2: Convert to fraction form
    20,307/48,920.50 = 48,920.50/x
  3. Step 3: Cross multiply
    20,307x = 48,920.50 × 48,920.50
  4. Step 4: Simplify right side
    20,307x = 2,393,215,320.25
  5. Step 5: Solve for x
    x = 2,393,215,320.25/20,307
  6. Step 6: Final answer
    x = 117,851.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.