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Finding the Third Proportional to 23,871 and 56,149.50

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Solution

The third proportional to 23,871 and 56,149.50 is: 132,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871 : 56,149.50 = 56,149.50 : x
  2. Step 2: Convert to fraction form
    23,871/56,149.50 = 56,149.50/x
  3. Step 3: Cross multiply
    23,871x = 56,149.50 × 56,149.50
  4. Step 4: Simplify right side
    23,871x = 3,152,766,350.25
  5. Step 5: Solve for x
    x = 3,152,766,350.25/23,871
  6. Step 6: Final answer
    x = 132,075.17

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.