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Finding the Third Proportional to 44,433 and 58,711.50

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Solution

The third proportional to 44,433 and 58,711.50 is: 77,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,433 : 58,711.50 = 58,711.50 : x
  2. Step 2: Convert to fraction form
    44,433/58,711.50 = 58,711.50/x
  3. Step 3: Cross multiply
    44,433x = 58,711.50 × 58,711.50
  4. Step 4: Simplify right side
    44,433x = 3,447,040,232.25
  5. Step 5: Solve for x
    x = 3,447,040,232.25/44,433
  6. Step 6: Final answer
    x = 77,578.38

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.