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Finding the Third Proportional to 48,000.09 and 74,004.89

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Solution

The third proportional to 48,000.09 and 74,004.89 is: 114,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000.09 : 74,004.89 = 74,004.89 : x
  2. Step 2: Convert to fraction form
    48,000.09/74,004.89 = 74,004.89/x
  3. Step 3: Cross multiply
    48,000.09x = 74,004.89 × 74,004.89
  4. Step 4: Simplify right side
    48,000.09x = 5,476,723,836.42
  5. Step 5: Solve for x
    x = 5,476,723,836.42/48,000.09
  6. Step 6: Final answer
    x = 114,098.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.