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Finding the Third Proportional to 38,971.13 and 55,731.38

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Solution

The third proportional to 38,971.13 and 55,731.38 is: 79,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.13 : 55,731.38 = 55,731.38 : x
  2. Step 2: Convert to fraction form
    38,971.13/55,731.38 = 55,731.38/x
  3. Step 3: Cross multiply
    38,971.13x = 55,731.38 × 55,731.38
  4. Step 4: Simplify right side
    38,971.13x = 3,105,986,159.39
  5. Step 5: Solve for x
    x = 3,105,986,159.39/38,971.13
  6. Step 6: Final answer
    x = 79,699.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.