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Finding the Third Proportional to 29,727 and 44,437.50

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Solution

The third proportional to 29,727 and 44,437.50 is: 66,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727 : 44,437.50 = 44,437.50 : x
  2. Step 2: Convert to fraction form
    29,727/44,437.50 = 44,437.50/x
  3. Step 3: Cross multiply
    29,727x = 44,437.50 × 44,437.50
  4. Step 4: Simplify right side
    29,727x = 1,974,691,406.25
  5. Step 5: Solve for x
    x = 1,974,691,406.25/29,727
  6. Step 6: Final answer
    x = 66,427.54

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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.