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Finding the Third Proportional to 8,359.88 and 13,000.50

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Solution

The third proportional to 8,359.88 and 13,000.50 is: 20,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.88 : 13,000.50 = 13,000.50 : x
  2. Step 2: Convert to fraction form
    8,359.88/13,000.50 = 13,000.50/x
  3. Step 3: Cross multiply
    8,359.88x = 13,000.50 × 13,000.50
  4. Step 4: Simplify right side
    8,359.88x = 169,013,000.25
  5. Step 5: Solve for x
    x = 169,013,000.25/8,359.88
  6. Step 6: Final answer
    x = 20,217.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.