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Finding the Third Proportional to 29,865 and 62,887.50

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Solution

The third proportional to 29,865 and 62,887.50 is: 132,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,865 : 62,887.50 = 62,887.50 : x
  2. Step 2: Convert to fraction form
    29,865/62,887.50 = 62,887.50/x
  3. Step 3: Cross multiply
    29,865x = 62,887.50 × 62,887.50
  4. Step 4: Simplify right side
    29,865x = 3,954,837,656.25
  5. Step 5: Solve for x
    x = 3,954,837,656.25/29,865
  6. Step 6: Final answer
    x = 132,423.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.