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Finding the Third Proportional to 13,030.88 and 19,910.81

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Solution

The third proportional to 13,030.88 and 19,910.81 is: 30,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.88 : 19,910.81 = 19,910.81 : x
  2. Step 2: Convert to fraction form
    13,030.88/19,910.81 = 19,910.81/x
  3. Step 3: Cross multiply
    13,030.88x = 19,910.81 × 19,910.81
  4. Step 4: Simplify right side
    13,030.88x = 396,440,454.41
  5. Step 5: Solve for x
    x = 396,440,454.41/13,030.88
  6. Step 6: Final answer
    x = 30,423.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.