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Finding the Third Proportional to 23,237 and 31,222.50

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Solution

The third proportional to 23,237 and 31,222.50 is: 41,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,237 : 31,222.50 = 31,222.50 : x
  2. Step 2: Convert to fraction form
    23,237/31,222.50 = 31,222.50/x
  3. Step 3: Cross multiply
    23,237x = 31,222.50 × 31,222.50
  4. Step 4: Simplify right side
    23,237x = 974,844,506.25
  5. Step 5: Solve for x
    x = 974,844,506.25/23,237
  6. Step 6: Final answer
    x = 41,952.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.