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Finding the Third Proportional to 48,947 and 77,796.50

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Solution

The third proportional to 48,947 and 77,796.50 is: 123,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947 : 77,796.50 = 77,796.50 : x
  2. Step 2: Convert to fraction form
    48,947/77,796.50 = 77,796.50/x
  3. Step 3: Cross multiply
    48,947x = 77,796.50 × 77,796.50
  4. Step 4: Simplify right side
    48,947x = 6,052,295,412.25
  5. Step 5: Solve for x
    x = 6,052,295,412.25/48,947
  6. Step 6: Final answer
    x = 123,649.98

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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.