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Finding the Third Proportional to 35,000.50 and 75,617

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Solution

The third proportional to 35,000.50 and 75,617 is: 163,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,000.50 : 75,617 = 75,617 : x
  2. Step 2: Convert to fraction form
    35,000.50/75,617 = 75,617/x
  3. Step 3: Cross multiply
    35,000.50x = 75,617 × 75,617
  4. Step 4: Simplify right side
    35,000.50x = 5,717,930,689
  5. Step 5: Solve for x
    x = 5,717,930,689/35,000.50
  6. Step 6: Final answer
    x = 163,367.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.