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Finding the Third Proportional to 30,886.31 and 45,167.63

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Solution

The third proportional to 30,886.31 and 45,167.63 is: 66,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.31 : 45,167.63 = 45,167.63 : x
  2. Step 2: Convert to fraction form
    30,886.31/45,167.63 = 45,167.63/x
  3. Step 3: Cross multiply
    30,886.31x = 45,167.63 × 45,167.63
  4. Step 4: Simplify right side
    30,886.31x = 2,040,114,348.14
  5. Step 5: Solve for x
    x = 2,040,114,348.14/30,886.31
  6. Step 6: Final answer
    x = 66,052.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.