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Finding the Third Proportional to 31,125.50 and 46,775.50

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Solution

The third proportional to 31,125.50 and 46,775.50 is: 70,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.50 : 46,775.50 = 46,775.50 : x
  2. Step 2: Convert to fraction form
    31,125.50/46,775.50 = 46,775.50/x
  3. Step 3: Cross multiply
    31,125.50x = 46,775.50 × 46,775.50
  4. Step 4: Simplify right side
    31,125.50x = 2,187,947,400.25
  5. Step 5: Solve for x
    x = 2,187,947,400.25/31,125.50
  6. Step 6: Final answer
    x = 70,294.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.