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Finding the Third Proportional to 13,780.13 and 21,900.94

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Solution

The third proportional to 13,780.13 and 21,900.94 is: 34,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 21,900.94 = 21,900.94 : x
  2. Step 2: Convert to fraction form
    13,780.13/21,900.94 = 21,900.94/x
  3. Step 3: Cross multiply
    13,780.13x = 21,900.94 × 21,900.94
  4. Step 4: Simplify right side
    13,780.13x = 479,651,063.38
  5. Step 5: Solve for x
    x = 479,651,063.38/13,780.13
  6. Step 6: Final answer
    x = 34,807.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.