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Finding the Third Proportional to 22,681.58 and 34,103.53

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Solution

The third proportional to 22,681.58 and 34,103.53 is: 51,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.58 : 34,103.53 = 34,103.53 : x
  2. Step 2: Convert to fraction form
    22,681.58/34,103.53 = 34,103.53/x
  3. Step 3: Cross multiply
    22,681.58x = 34,103.53 × 34,103.53
  4. Step 4: Simplify right side
    22,681.58x = 1,163,050,843.72
  5. Step 5: Solve for x
    x = 1,163,050,843.72/22,681.58
  6. Step 6: Final answer
    x = 51,277.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.