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Finding the Third Proportional to 24,567.05 and 37,084.08

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Solution

The third proportional to 24,567.05 and 37,084.08 is: 55,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.05 : 37,084.08 = 37,084.08 : x
  2. Step 2: Convert to fraction form
    24,567.05/37,084.08 = 37,084.08/x
  3. Step 3: Cross multiply
    24,567.05x = 37,084.08 × 37,084.08
  4. Step 4: Simplify right side
    24,567.05x = 1,375,228,850.38
  5. Step 5: Solve for x
    x = 1,375,228,850.38/24,567.05
  6. Step 6: Final answer
    x = 55,978.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.