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Finding the Third Proportional to 19,512.14 and 21,562.45

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Solution

The third proportional to 19,512.14 and 21,562.45 is: 23,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.14 : 21,562.45 = 21,562.45 : x
  2. Step 2: Convert to fraction form
    19,512.14/21,562.45 = 21,562.45/x
  3. Step 3: Cross multiply
    19,512.14x = 21,562.45 × 21,562.45
  4. Step 4: Simplify right side
    19,512.14x = 464,939,384.77
  5. Step 5: Solve for x
    x = 464,939,384.77/19,512.14
  6. Step 6: Final answer
    x = 23,828.21

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.