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Finding the Third Proportional to 17,885.81 and 38,237.06

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Solution

The third proportional to 17,885.81 and 38,237.06 is: 81,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.81 : 38,237.06 = 38,237.06 : x
  2. Step 2: Convert to fraction form
    17,885.81/38,237.06 = 38,237.06/x
  3. Step 3: Cross multiply
    17,885.81x = 38,237.06 × 38,237.06
  4. Step 4: Simplify right side
    17,885.81x = 1,462,072,948.63
  5. Step 5: Solve for x
    x = 1,462,072,948.63/17,885.81
  6. Step 6: Final answer
    x = 81,744.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.