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Finding the Third Proportional to 21,257.81 and 46,343.06

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Solution

The third proportional to 21,257.81 and 46,343.06 is: 101,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.81 : 46,343.06 = 46,343.06 : x
  2. Step 2: Convert to fraction form
    21,257.81/46,343.06 = 46,343.06/x
  3. Step 3: Cross multiply
    21,257.81x = 46,343.06 × 46,343.06
  4. Step 4: Simplify right side
    21,257.81x = 2,147,679,441.88
  5. Step 5: Solve for x
    x = 2,147,679,441.88/21,257.81
  6. Step 6: Final answer
    x = 101,030.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.