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Finding the Third Proportional to 13,780.13 and 30,020.63

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Solution

The third proportional to 13,780.13 and 30,020.63 is: 65,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 30,020.63 = 30,020.63 : x
  2. Step 2: Convert to fraction form
    13,780.13/30,020.63 = 30,020.63/x
  3. Step 3: Cross multiply
    13,780.13x = 30,020.63 × 30,020.63
  4. Step 4: Simplify right side
    13,780.13x = 901,237,925.39
  5. Step 5: Solve for x
    x = 901,237,925.39/13,780.13
  6. Step 6: Final answer
    x = 65,401.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.