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Finding the Third Proportional to 49,866.50 and 72,871

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Solution

The third proportional to 49,866.50 and 72,871 is: 106,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866.50 : 72,871 = 72,871 : x
  2. Step 2: Convert to fraction form
    49,866.50/72,871 = 72,871/x
  3. Step 3: Cross multiply
    49,866.50x = 72,871 × 72,871
  4. Step 4: Simplify right side
    49,866.50x = 5,310,182,641
  5. Step 5: Solve for x
    x = 5,310,182,641/49,866.50
  6. Step 6: Final answer
    x = 106,487.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.