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Finding the Third Proportional to 22,851 and 35,815.50

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Solution

The third proportional to 22,851 and 35,815.50 is: 56,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851 : 35,815.50 = 35,815.50 : x
  2. Step 2: Convert to fraction form
    22,851/35,815.50 = 35,815.50/x
  3. Step 3: Cross multiply
    22,851x = 35,815.50 × 35,815.50
  4. Step 4: Simplify right side
    22,851x = 1,282,750,040.25
  5. Step 5: Solve for x
    x = 1,282,750,040.25/22,851
  6. Step 6: Final answer
    x = 56,135.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.