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Finding the Third Proportional to 10,509.45 and 17,515.76

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Solution

The third proportional to 10,509.45 and 17,515.76 is: 29,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.45 : 17,515.76 = 17,515.76 : x
  2. Step 2: Convert to fraction form
    10,509.45/17,515.76 = 17,515.76/x
  3. Step 3: Cross multiply
    10,509.45x = 17,515.76 × 17,515.76
  4. Step 4: Simplify right side
    10,509.45x = 306,801,694.77
  5. Step 5: Solve for x
    x = 306,801,694.77/10,509.45
  6. Step 6: Final answer
    x = 29,192.93

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.