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Finding the Third Proportional to 34,614 and 55,080

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Solution

The third proportional to 34,614 and 55,080 is: 87,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 55,080 = 55,080 : x
  2. Step 2: Convert to fraction form
    34,614/55,080 = 55,080/x
  3. Step 3: Cross multiply
    34,614x = 55,080 × 55,080
  4. Step 4: Simplify right side
    34,614x = 3,033,806,400
  5. Step 5: Solve for x
    x = 3,033,806,400/34,614
  6. Step 6: Final answer
    x = 87,646.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.