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Finding the Third Proportional to 35,855.50 and 56,947

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Solution

The third proportional to 35,855.50 and 56,947 is: 90,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,855.50 : 56,947 = 56,947 : x
  2. Step 2: Convert to fraction form
    35,855.50/56,947 = 56,947/x
  3. Step 3: Cross multiply
    35,855.50x = 56,947 × 56,947
  4. Step 4: Simplify right side
    35,855.50x = 3,242,960,809
  5. Step 5: Solve for x
    x = 3,242,960,809/35,855.50
  6. Step 6: Final answer
    x = 90,445.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.