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Finding the Third Proportional to 8,429.50 and 17,507

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Solution

The third proportional to 8,429.50 and 17,507 is: 36,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.50 : 17,507 = 17,507 : x
  2. Step 2: Convert to fraction form
    8,429.50/17,507 = 17,507/x
  3. Step 3: Cross multiply
    8,429.50x = 17,507 × 17,507
  4. Step 4: Simplify right side
    8,429.50x = 306,495,049
  5. Step 5: Solve for x
    x = 306,495,049/8,429.50
  6. Step 6: Final answer
    x = 36,359.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.