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Finding the Third Proportional to 23,025 and 50,437.50

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Solution

The third proportional to 23,025 and 50,437.50 is: 110,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,025 : 50,437.50 = 50,437.50 : x
  2. Step 2: Convert to fraction form
    23,025/50,437.50 = 50,437.50/x
  3. Step 3: Cross multiply
    23,025x = 50,437.50 × 50,437.50
  4. Step 4: Simplify right side
    23,025x = 2,543,941,406.25
  5. Step 5: Solve for x
    x = 2,543,941,406.25/23,025
  6. Step 6: Final answer
    x = 110,486.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.