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Finding the Third Proportional to 46,998 and 71,986.50

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Solution

The third proportional to 46,998 and 71,986.50 is: 110,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,998 : 71,986.50 = 71,986.50 : x
  2. Step 2: Convert to fraction form
    46,998/71,986.50 = 71,986.50/x
  3. Step 3: Cross multiply
    46,998x = 71,986.50 × 71,986.50
  4. Step 4: Simplify right side
    46,998x = 5,182,056,182.25
  5. Step 5: Solve for x
    x = 5,182,056,182.25/46,998
  6. Step 6: Final answer
    x = 110,261.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.