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Finding the Third Proportional to 13,308.47 and 20,603.34

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Solution

The third proportional to 13,308.47 and 20,603.34 is: 31,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.47 : 20,603.34 = 20,603.34 : x
  2. Step 2: Convert to fraction form
    13,308.47/20,603.34 = 20,603.34/x
  3. Step 3: Cross multiply
    13,308.47x = 20,603.34 × 20,603.34
  4. Step 4: Simplify right side
    13,308.47x = 424,497,773.68
  5. Step 5: Solve for x
    x = 424,497,773.68/13,308.47
  6. Step 6: Final answer
    x = 31,896.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.