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Finding the Third Proportional to 35,633 and 75,289

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Solution

The third proportional to 35,633 and 75,289 is: 159,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,633 : 75,289 = 75,289 : x
  2. Step 2: Convert to fraction form
    35,633/75,289 = 75,289/x
  3. Step 3: Cross multiply
    35,633x = 75,289 × 75,289
  4. Step 4: Simplify right side
    35,633x = 5,668,433,521
  5. Step 5: Solve for x
    x = 5,668,433,521/35,633
  6. Step 6: Final answer
    x = 159,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.