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Finding the Third Proportional to 34,488 and 75,600

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Solution

The third proportional to 34,488 and 75,600 is: 165,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,488 : 75,600 = 75,600 : x
  2. Step 2: Convert to fraction form
    34,488/75,600 = 75,600/x
  3. Step 3: Cross multiply
    34,488x = 75,600 × 75,600
  4. Step 4: Simplify right side
    34,488x = 5,715,360,000
  5. Step 5: Solve for x
    x = 5,715,360,000/34,488
  6. Step 6: Final answer
    x = 165,720.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.