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Finding the Third Proportional to 23,079.94 and 37,683.98

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Solution

The third proportional to 23,079.94 and 37,683.98 is: 61,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,079.94 : 37,683.98 = 37,683.98 : x
  2. Step 2: Convert to fraction form
    23,079.94/37,683.98 = 37,683.98/x
  3. Step 3: Cross multiply
    23,079.94x = 37,683.98 × 37,683.98
  4. Step 4: Simplify right side
    23,079.94x = 1,420,082,678.38
  5. Step 5: Solve for x
    x = 1,420,082,678.38/23,079.94
  6. Step 6: Final answer
    x = 61,528.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.