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Finding the Third Proportional to 14,745.80 and 31,577.03

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Solution

The third proportional to 14,745.80 and 31,577.03 is: 67,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.80 : 31,577.03 = 31,577.03 : x
  2. Step 2: Convert to fraction form
    14,745.80/31,577.03 = 31,577.03/x
  3. Step 3: Cross multiply
    14,745.80x = 31,577.03 × 31,577.03
  4. Step 4: Simplify right side
    14,745.80x = 997,108,655.87
  5. Step 5: Solve for x
    x = 997,108,655.87/14,745.80
  6. Step 6: Final answer
    x = 67,619.86

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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.