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Finding the Third Proportional to 34,567.88 and 75,393

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Solution

The third proportional to 34,567.88 and 75,393 is: 164,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,567.88 : 75,393 = 75,393 : x
  2. Step 2: Convert to fraction form
    34,567.88/75,393 = 75,393/x
  3. Step 3: Cross multiply
    34,567.88x = 75,393 × 75,393
  4. Step 4: Simplify right side
    34,567.88x = 5,684,104,449
  5. Step 5: Solve for x
    x = 5,684,104,449/34,567.88
  6. Step 6: Final answer
    x = 164,433.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.