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Finding the Third Proportional to 34,851 and 53,097

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Solution

The third proportional to 34,851 and 53,097 is: 80,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851 : 53,097 = 53,097 : x
  2. Step 2: Convert to fraction form
    34,851/53,097 = 53,097/x
  3. Step 3: Cross multiply
    34,851x = 53,097 × 53,097
  4. Step 4: Simplify right side
    34,851x = 2,819,291,409
  5. Step 5: Solve for x
    x = 2,819,291,409/34,851
  6. Step 6: Final answer
    x = 80,895.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.