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Finding the Third Proportional to 7,995.47 and 12,541.92

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Solution

The third proportional to 7,995.47 and 12,541.92 is: 19,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995.47 : 12,541.92 = 12,541.92 : x
  2. Step 2: Convert to fraction form
    7,995.47/12,541.92 = 12,541.92/x
  3. Step 3: Cross multiply
    7,995.47x = 12,541.92 × 12,541.92
  4. Step 4: Simplify right side
    7,995.47x = 157,299,804.32
  5. Step 5: Solve for x
    x = 157,299,804.32/7,995.47
  6. Step 6: Final answer
    x = 19,673.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.