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Finding the Third Proportional to 20,877.75 and 31,807.69

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Solution

The third proportional to 20,877.75 and 31,807.69 is: 48,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.75 : 31,807.69 = 31,807.69 : x
  2. Step 2: Convert to fraction form
    20,877.75/31,807.69 = 31,807.69/x
  3. Step 3: Cross multiply
    20,877.75x = 31,807.69 × 31,807.69
  4. Step 4: Simplify right side
    20,877.75x = 1,011,728,984.10
  5. Step 5: Solve for x
    x = 1,011,728,984.10/20,877.75
  6. Step 6: Final answer
    x = 48,459.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.