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Finding the Third Proportional to 7,349.50 and 15,851

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Solution

The third proportional to 7,349.50 and 15,851 is: 34,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.50 : 15,851 = 15,851 : x
  2. Step 2: Convert to fraction form
    7,349.50/15,851 = 15,851/x
  3. Step 3: Cross multiply
    7,349.50x = 15,851 × 15,851
  4. Step 4: Simplify right side
    7,349.50x = 251,254,201
  5. Step 5: Solve for x
    x = 251,254,201/7,349.50
  6. Step 6: Final answer
    x = 34,186.57

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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.