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Finding the Third Proportional to 19,971.56 and 30,542.06

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Solution

The third proportional to 19,971.56 and 30,542.06 is: 46,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.56 : 30,542.06 = 30,542.06 : x
  2. Step 2: Convert to fraction form
    19,971.56/30,542.06 = 30,542.06/x
  3. Step 3: Cross multiply
    19,971.56x = 30,542.06 × 30,542.06
  4. Step 4: Simplify right side
    19,971.56x = 932,817,581.75
  5. Step 5: Solve for x
    x = 932,817,581.75/19,971.56
  6. Step 6: Final answer
    x = 46,707.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.