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Finding the Third Proportional to 5,756.06 and 13,548.94

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Solution

The third proportional to 5,756.06 and 13,548.94 is: 31,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.06 : 13,548.94 = 13,548.94 : x
  2. Step 2: Convert to fraction form
    5,756.06/13,548.94 = 13,548.94/x
  3. Step 3: Cross multiply
    5,756.06x = 13,548.94 × 13,548.94
  4. Step 4: Simplify right side
    5,756.06x = 183,573,707.38
  5. Step 5: Solve for x
    x = 183,573,707.38/5,756.06
  6. Step 6: Final answer
    x = 31,892.24

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.