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Finding the Third Proportional to 7,868.06 and 17,105.63

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Solution

The third proportional to 7,868.06 and 17,105.63 is: 37,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.06 : 17,105.63 = 17,105.63 : x
  2. Step 2: Convert to fraction form
    7,868.06/17,105.63 = 17,105.63/x
  3. Step 3: Cross multiply
    7,868.06x = 17,105.63 × 17,105.63
  4. Step 4: Simplify right side
    7,868.06x = 292,602,406.64
  5. Step 5: Solve for x
    x = 292,602,406.64/7,868.06
  6. Step 6: Final answer
    x = 37,188.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.