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Finding the Third Proportional to 13,077.19 and 16,790.81

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Solution

The third proportional to 13,077.19 and 16,790.81 is: 21,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.19 : 16,790.81 = 16,790.81 : x
  2. Step 2: Convert to fraction form
    13,077.19/16,790.81 = 16,790.81/x
  3. Step 3: Cross multiply
    13,077.19x = 16,790.81 × 16,790.81
  4. Step 4: Simplify right side
    13,077.19x = 281,931,384.41
  5. Step 5: Solve for x
    x = 281,931,384.41/13,077.19
  6. Step 6: Final answer
    x = 21,559.02

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.