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Finding the Third Proportional to 13,263.75 and 32,977.13

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Solution

The third proportional to 13,263.75 and 32,977.13 is: 81,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.75 : 32,977.13 = 32,977.13 : x
  2. Step 2: Convert to fraction form
    13,263.75/32,977.13 = 32,977.13/x
  3. Step 3: Cross multiply
    13,263.75x = 32,977.13 × 32,977.13
  4. Step 4: Simplify right side
    13,263.75x = 1,087,490,773.27
  5. Step 5: Solve for x
    x = 1,087,490,773.27/13,263.75
  6. Step 6: Final answer
    x = 81,989.69

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.