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Finding the Third Proportional to 49,807.50 and 74,004

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Solution

The third proportional to 49,807.50 and 74,004 is: 109,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807.50 : 74,004 = 74,004 : x
  2. Step 2: Convert to fraction form
    49,807.50/74,004 = 74,004/x
  3. Step 3: Cross multiply
    49,807.50x = 74,004 × 74,004
  4. Step 4: Simplify right side
    49,807.50x = 5,476,592,016
  5. Step 5: Solve for x
    x = 5,476,592,016/49,807.50
  6. Step 6: Final answer
    x = 109,955.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.