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Finding the Third Proportional to 23,901 and 52,567.50

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Solution

The third proportional to 23,901 and 52,567.50 is: 115,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901 : 52,567.50 = 52,567.50 : x
  2. Step 2: Convert to fraction form
    23,901/52,567.50 = 52,567.50/x
  3. Step 3: Cross multiply
    23,901x = 52,567.50 × 52,567.50
  4. Step 4: Simplify right side
    23,901x = 2,763,342,056.25
  5. Step 5: Solve for x
    x = 2,763,342,056.25/23,901
  6. Step 6: Final answer
    x = 115,616.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.