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Finding the Third Proportional to 5,723.16 and 12,071.53

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Solution

The third proportional to 5,723.16 and 12,071.53 is: 25,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.16 : 12,071.53 = 12,071.53 : x
  2. Step 2: Convert to fraction form
    5,723.16/12,071.53 = 12,071.53/x
  3. Step 3: Cross multiply
    5,723.16x = 12,071.53 × 12,071.53
  4. Step 4: Simplify right side
    5,723.16x = 145,721,866.72
  5. Step 5: Solve for x
    x = 145,721,866.72/5,723.16
  6. Step 6: Final answer
    x = 25,461.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.