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Finding the Third Proportional to 7,468.50 and 16,101

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Solution

The third proportional to 7,468.50 and 16,101 is: 34,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.50 : 16,101 = 16,101 : x
  2. Step 2: Convert to fraction form
    7,468.50/16,101 = 16,101/x
  3. Step 3: Cross multiply
    7,468.50x = 16,101 × 16,101
  4. Step 4: Simplify right side
    7,468.50x = 259,242,201
  5. Step 5: Solve for x
    x = 259,242,201/7,468.50
  6. Step 6: Final answer
    x = 34,711.41

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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.